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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 2

On some differential properties of functions in generalized grand Sobolev-Morrey spaces

Alik Najafov(AZERBAIJAN ARCHITECTURE AND CONSTRUCTION UNIVERSITY)0000-0002-4289-9056
Ahmet Eroğlu(NIGDE OMER HALISDEMIR UNIVERSITY)0000-0002-2642-3154
Firide Mustafayeva(AZERBAIJAN STATE PEDOGOGICAL UNIVERSITY)0000-0002-0738-4911
Sayfa
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Yayın Tarihi
2023-06-23
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some differential and differential-difference properties of functions from this spaces are proved by means of the integral representation.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we introduce a generalized grand Sobolev-Morrey spaces.
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Temel Bulgular & Veri:In this paper we introduce a generalized grand Sobolev-Morrey spaces.
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Sonuç & Katkı:Some differential and differential-difference properties of functions from this spaces are proved by means of the integral representation.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized grand Sobolev-Morrey spaces · integral representation · flexible-horn condition

Abstract

In this paper we introduce a generalized grand Sobolev-Morrey spaces. Some differential and differential-difference properties of functions from this spaces are proved by means of the integral representation.

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Bu Makaleye Atıf Yap

Najafov, A., Eroğlu, A., Mustafayeva, F. (2023). On some differential properties of functions in generalized grand Sobolev-Morrey spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 2. https://doi.org/10.31801/cfsuasmas.1171026

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Kaynakça (14)

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  8. Mizuta, Y., Ohno, T., Trudingers exponential integrability for Riesz potentials of function in generalized grand Morrey spaces, J. Math. Anal. Appl., 420(1) (2014). https://doi.org/10.1016/j.jmaa.2014.05.082
  9. Najafov, A. M., Alekberli, S. T., On properties of functions from grand Sobolev-Morrey spaces, J. Baku Engineering Univ., 2(1) (2018), 27-36.
  10. Najafov, A. M., Rustamova, N. R., Some differential properties of anisotropic grand Sobolev Morrey spaces, Trans. A. Razmadze Math. Inst., 172(1) (2018), 82-89. https://doi.org/10.1016/j.trmi.2017.10.001
  11. Najafov, A. M., Gasimova, A. M., On embedding theorems in grand grand Nikolski-Morrey spaces, Eur. J. Pure Appl. Math., 12(4) (2019), 1602-1611. https://doi.org/10.29020/nybg.ejpam.v12i4.3567
  12. Najafov, A. M., On some properties differential properties of small small Sobolev-Morrey spaces, Eurasian Math. J., 12(1) (2021), 57-67. https://doi.org/10.32523/2077-9879-2021-12-1-57-67
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  14. Umarkhadzhiev, S., The boundedness of the Riesz potential operator from generalized grand Lebesgue spaces to generalized grand Morrey spaces, Operator Theory, Operator Algebras and Applications, 363-373, Oper. Theory Adv. Appl., 242, Birkh¨auser, Springer, Basel, 2014. DOI:10.1007/978-3-0348-0816-3 22