Some properties of grand Sobolev-Morrey spaces with dominant mixed derivatives

DOI10.7153/jmi-2019-13-83zbMath1445.46037OpenAlexW3001762063WikidataQ126305619 ScholiaQ126305619MaRDI QIDQ5217476

S. T. Alekberli, Alik M. Najafov

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-83

zbMATH Keywords

integral representationembedding theoremHölder conditiongrand Sobolev-Morrey spaces with dominant mixed derivatives

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)

Related Items (3)

On Hardy type inequalities in grand Lebesgue spacesL_p)for 0 <p≤ 1 ⋮ Some differential properties of grand generalized Sobolev-Morrey spaces ⋮ On embeddings of grand grand Sobolev-Morrey spaces with dominant mixed derivatives

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
• Maximal functions, potentials and singular integrals in grand Morrey spaces
• Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces
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