The Boundedness of the Riesz Potential Operator from Generalized Grand Lebesgue Spaces to Generalized Grand Morrey Spaces

DOI10.1007/978-3-0348-0816-3_22zbMath1329.46027OpenAlexW2155283029MaRDI QIDQ5262408

Salaudin Umarkhadzhiev

Publication date: 14 July 2015

Published in: Operator Theory, Operator Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0816-3_22

zbMATH Keywords

interpolation theoremRiesz potentialgrand Lebesgue spacegrand Morrey spaceMuckenhoupt-Wheeden weight

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) Function spaces arising in harmonic analysis (42B35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (9)

Unnamed Item ⋮ Unnamed Item ⋮ On embeddings of grand grand Sobolev-Morrey spaces with dominant mixed derivatives ⋮ Grand Lebesgue space for p = ∞ and its application to Sobolev–Adams embedding theorems in borderline cases ⋮ On elliptic homogeneous differential operators in grand spaces ⋮ Embedding of grand central Morrey-type spaces into local grand weighted Lebesgue spaces ⋮ Integral operators with homogeneous kernels in grand Lebesgue spaces ⋮ Description of the space of Riesz potentials of functions in a grand Lebesgue space on \(\mathbb{R}^n\) ⋮ Some differential properties of anisotropic grand Sobolev-Morrey spaces

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