Some Characterization of the Function Space Type of Lebesgue−Morrey

Rena Eldar Kizi Kerbalayeva

doi:doi:10.11648/j.ajist.20210502.12

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Some Characterization of the Function Space Type of Lebesgue−Morrey

Rena Eldar Kizi Kerbalayeva

Published in American Journal of Information Science and Technology (Volume 5, Issue 2)

Received: 11 March 2021 Accepted: 30 March 2021 Published: 14 May 2021

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Abstract

As in many areas of Mathematics, we need precise definition and some characterization of function space in order to be absolutely clear. This paper seeks to do that and introduces new definitions and notations to aid our study. I also look at reversible processes of proofs and a new type of function spaces. In this scientific paper we have studied new sub of functions, sub of space of these functions. The new function spaces were investigated in this paper. In the present scientific work we have studied the differentiability functions, some differentiability properties of this type function and in particular, characterization of the differentiability spaces for the functions many groups of variables. At the start of this paper, you will see list of markings that are covered in the paper. Then I gave definition of new normed funksion spase. Following you can see several caharacterization of these spaces and proofs of these caracterization too. Finally, there is connection, known as the Fundamental Analysis, between functions and derivatives of these functions which makes the characterization of functions spaces as a practical tool for science and engineering. The function space is also use to solve many interesting problems some scientific branches like economics, finance, informatics and probability.

Published in	American Journal of Information Science and Technology (Volume 5, Issue 2)
DOI	10.11648/j.ajist.20210502.12
Page(s)	25-29
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

The Space Type of Lebesgue−Morrey, the Function Space of Differentiability Function, Some Properties of These spaces

References

[1]	Djabrailov, A. Dj. (1993) The method of integral representation in the theory of spaces of function of several groups variables. Kluwer Academic Publishers, 13−79.
[2]	Fazio, G Di., Ragua, M. (1993) Interior estimates in Morrey spaces for strong solutions to nondevergence form equation with discontinuous coefficients. Journal Func. Anal., 11, 105–115.
[3]	Fan Di., Lu S., Yang D. (1998) Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients. Georgian Math. Jour., 5, 425–440.
[4]	Guiseppe, S. (1998) Un problema di Darboux in un insieme non limitato. Esistenza, unicita e dipendenza continua della soluzione. Math., 53 (2), 359−373.
[5]	Kato T. (1992) Strong solutions of the Navier−Stokes equation in Morrey. Soc. Brasil. Mat., 22, 127−155.
[6]	Kozano H. (1994) Comm. Partial Differential Navier−Stokes equations. Yamasaki M. Semilinear heat equations and the Navier−Stokes equation with distributions in new function spaces as initial data, 19, 959-1014.
[7]	Lin Tang., Jingshi Xu. (2005) Some properties of Morrey type Besov−Triebel spaces. Math. Nachr., 278 (7/8), 904−917.
[8]	Mamedov I. G. (2002) The local boundary value problem for an integro−differential equation. Proceedings of Inst. of mathematics and mechanics, XVIII, 96−101.
[9]	Mazzucato, A. I. (2001) Decomposition of Besov−Morrey spaces. Proceedings of Conference on Harmonic Analysis, 215−233.
[10]	Najafov, A. M. (2005) On some properties of the function from Sobolev−Morrey type spaces. Central Europen Journal of Mathem., 3 (3), 496−507.
[11]	Najafov A. M. (2005) Some properties of functions from the intersection of Besov−Morrey type spaces with dominant mixed derivatives. Proceedings of A. Razmadze Math. Inst., 139, 71−82.
[12]	Najafov A. M. (2005) Problem on smoothness of solution of one class hypoelliptic equations. Proceedings of A. Razmadze Math. Inst., 140, 131−139.
[13]	Najafov A. M., Kerbalayeva R. E. (2015) Interpolation theorems for spaces Besov–Morrey type. Journal presented by institute Mathematics and Computer Sciences at Tskhum–Abkhazian Academy of Sciences, Tskhum–Abkhazian, IX–X, 198–212.
[14]	Najafov A. M., Kerbalayeva R. E. (2019) The embedding theorems for Besov-Morrey spaces of many groups of variables. Proceedings of A. Razmadze Institute Mathematics. Georgian Academy of Sciences, 26(1), 125-131.
[15]	Taylor, M. (1994/1995) Microlocal analysis on Morrey spaces. Singularities and oscullations (Minneapolis). IMA 91, Math. Appl., Springer, New Yor., 97−135.

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APA Style

Rena Eldar Kizi Kerbalayeva. (2021). Some Characterization of the Function Space Type of Lebesgue−Morrey. American Journal of Information Science and Technology, 5(2), 25-29. https://doi.org/10.11648/j.ajist.20210502.12

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ACS Style

Rena Eldar Kizi Kerbalayeva. Some Characterization of the Function Space Type of Lebesgue−Morrey. Am. J. Inf. Sci. Technol. 2021, 5(2), 25-29. doi: 10.11648/j.ajist.20210502.12

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AMA Style

Rena Eldar Kizi Kerbalayeva. Some Characterization of the Function Space Type of Lebesgue−Morrey. Am J Inf Sci Technol. 2021;5(2):25-29. doi: 10.11648/j.ajist.20210502.12

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@article{10.11648/j.ajist.20210502.12,
  author = {Rena Eldar Kizi Kerbalayeva},
  title = {Some Characterization of the Function Space Type of Lebesgue−Morrey},
  journal = {American Journal of Information Science and Technology},
  volume = {5},
  number = {2},
  pages = {25-29},
  doi = {10.11648/j.ajist.20210502.12},
  url = {https://doi.org/10.11648/j.ajist.20210502.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajist.20210502.12},
  abstract = {As in many areas of Mathematics, we need precise definition and some characterization of function space in order to be absolutely clear. This paper seeks to do that and introduces new definitions and notations to aid our study. I also look at reversible processes of proofs and a new type of function spaces. In this scientific paper we have studied new sub of functions, sub of space of these functions. The new function spaces were investigated in this paper. In the present scientific work we have studied the differentiability functions, some differentiability properties of this type function and in particular, characterization of the differentiability spaces for the functions many groups of variables. At the start of this paper, you will see list of markings that are covered in the paper. Then I gave definition of new normed funksion spase. Following you can see several caharacterization of these spaces and proofs of these caracterization too. Finally, there is connection, known as the Fundamental Analysis, between functions and derivatives of these functions which makes the characterization of functions spaces as a practical tool for science and engineering. The function space is also use to solve many interesting problems some scientific branches like economics, finance, informatics and probability.},
 year = {2021}
}

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TY  - JOUR
T1  - Some Characterization of the Function Space Type of Lebesgue−Morrey
AU  - Rena Eldar Kizi Kerbalayeva
Y1  - 2021/05/14
PY  - 2021
N1  - https://doi.org/10.11648/j.ajist.20210502.12
DO  - 10.11648/j.ajist.20210502.12
T2  - American Journal of Information Science and Technology
JF  - American Journal of Information Science and Technology
JO  - American Journal of Information Science and Technology
SP  - 25
EP  - 29
PB  - Science Publishing Group
SN  - 2640-0588
UR  - https://doi.org/10.11648/j.ajist.20210502.12
AB  - As in many areas of Mathematics, we need precise definition and some characterization of function space in order to be absolutely clear. This paper seeks to do that and introduces new definitions and notations to aid our study. I also look at reversible processes of proofs and a new type of function spaces. In this scientific paper we have studied new sub of functions, sub of space of these functions. The new function spaces were investigated in this paper. In the present scientific work we have studied the differentiability functions, some differentiability properties of this type function and in particular, characterization of the differentiability spaces for the functions many groups of variables. At the start of this paper, you will see list of markings that are covered in the paper. Then I gave definition of new normed funksion spase. Following you can see several caharacterization of these spaces and proofs of these caracterization too. Finally, there is connection, known as the Fundamental Analysis, between functions and derivatives of these functions which makes the characterization of functions spaces as a practical tool for science and engineering. The function space is also use to solve many interesting problems some scientific branches like economics, finance, informatics and probability.
VL  - 5
IS  - 2
ER  -

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Author Information

Rena Eldar Kizi Kerbalayeva

Institute of Mathematics and Mechanics, National Academy Science of Azerbaijan, Baku, Azerbaijan

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APA Style

Rena Eldar Kizi Kerbalayeva. (2021). Some Characterization of the Function Space Type of Lebesgue−Morrey. American Journal of Information Science and Technology, 5(2), 25-29. https://doi.org/10.11648/j.ajist.20210502.12

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ACS Style

Rena Eldar Kizi Kerbalayeva. Some Characterization of the Function Space Type of Lebesgue−Morrey. Am. J. Inf. Sci. Technol. 2021, 5(2), 25-29. doi: 10.11648/j.ajist.20210502.12

Copy | Download

AMA Style

Rena Eldar Kizi Kerbalayeva. Some Characterization of the Function Space Type of Lebesgue−Morrey. Am J Inf Sci Technol. 2021;5(2):25-29. doi: 10.11648/j.ajist.20210502.12

Copy | Download

@article{10.11648/j.ajist.20210502.12,
  author = {Rena Eldar Kizi Kerbalayeva},
  title = {Some Characterization of the Function Space Type of Lebesgue−Morrey},
  journal = {American Journal of Information Science and Technology},
  volume = {5},
  number = {2},
  pages = {25-29},
  doi = {10.11648/j.ajist.20210502.12},
  url = {https://doi.org/10.11648/j.ajist.20210502.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajist.20210502.12},
  abstract = {As in many areas of Mathematics, we need precise definition and some characterization of function space in order to be absolutely clear. This paper seeks to do that and introduces new definitions and notations to aid our study. I also look at reversible processes of proofs and a new type of function spaces. In this scientific paper we have studied new sub of functions, sub of space of these functions. The new function spaces were investigated in this paper. In the present scientific work we have studied the differentiability functions, some differentiability properties of this type function and in particular, characterization of the differentiability spaces for the functions many groups of variables. At the start of this paper, you will see list of markings that are covered in the paper. Then I gave definition of new normed funksion spase. Following you can see several caharacterization of these spaces and proofs of these caracterization too. Finally, there is connection, known as the Fundamental Analysis, between functions and derivatives of these functions which makes the characterization of functions spaces as a practical tool for science and engineering. The function space is also use to solve many interesting problems some scientific branches like economics, finance, informatics and probability.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Some Characterization of the Function Space Type of Lebesgue−Morrey
AU  - Rena Eldar Kizi Kerbalayeva
Y1  - 2021/05/14
PY  - 2021
N1  - https://doi.org/10.11648/j.ajist.20210502.12
DO  - 10.11648/j.ajist.20210502.12
T2  - American Journal of Information Science and Technology
JF  - American Journal of Information Science and Technology
JO  - American Journal of Information Science and Technology
SP  - 25
EP  - 29
PB  - Science Publishing Group
SN  - 2640-0588
UR  - https://doi.org/10.11648/j.ajist.20210502.12
AB  - As in many areas of Mathematics, we need precise definition and some characterization of function space in order to be absolutely clear. This paper seeks to do that and introduces new definitions and notations to aid our study. I also look at reversible processes of proofs and a new type of function spaces. In this scientific paper we have studied new sub of functions, sub of space of these functions. The new function spaces were investigated in this paper. In the present scientific work we have studied the differentiability functions, some differentiability properties of this type function and in particular, characterization of the differentiability spaces for the functions many groups of variables. At the start of this paper, you will see list of markings that are covered in the paper. Then I gave definition of new normed funksion spase. Following you can see several caharacterization of these spaces and proofs of these caracterization too. Finally, there is connection, known as the Fundamental Analysis, between functions and derivatives of these functions which makes the characterization of functions spaces as a practical tool for science and engineering. The function space is also use to solve many interesting problems some scientific branches like economics, finance, informatics and probability.
VL  - 5
IS  - 2
ER  -

Copy | Download