Some differential properties of grand generalized Sobolev-Morrey spaces

DOI10.29228/proc.42OpenAlexW3120514322MaRDI QIDQ5054071

Rovshan F. Babayev

Publication date: 29 November 2022

Published in: Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29228/proc.42

zbMATH Keywords

integral representationembedding theoremsHölder conditiongrand generalized Sobolev-Morrey spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Cites Work

• On the integrability of the Jacobian under minimal hypotheses
• Some differential properties of anisotropic grand Sobolev-Morrey spaces
• Grand and small Lebesgue spaces and their analogs
• Trudinger's exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces
• Trace inequalities for fractional integrals in grand Lebesgue spaces
• On the solution of a class of partial differential equations
• Some properties of grand Sobolev-Morrey spaces with dominant mixed derivatives
• Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces
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