CRITERIA FOR EMBEDDING OF GENERALIZED BESSEL AND RIESZ POTENTIAL SPACES IN REARRANGEMENT INVARIANT SPACES

DOI10.32523/2077-9879-2019-10-2-08-29zbMath1463.46047OpenAlexW2990253162MaRDI QIDQ5118628

Nurzhan Bokayev, Gulden Zhumabekkyzy Karshygina, Mikhail L. Goldman

Publication date: 26 August 2020

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj326

zbMATH Keywords

generalized Bessel and Riesz potentialsfunctional normcones of functions with monotonicity conditionsembedding of potential spaces in rearrangement-invariant 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)

Related Items (4)

Estimates for decreasing rearrangements of convolution and coverings of cones ⋮ Estimates for integral majorants on the cones of monotone functions ⋮ Mutual coverings of cones of monotone functions and estimates of their integral majorants ⋮ Unnamed Item

Cites Work

• Optimal embeddings of generalized Bessel and Riesz potentials
• Cones of functions with monotonicity conditions for generalized Bessel and Riesz potentials
• Convolution operators and L(p, q) spaces
• On the cones of rearrangements for generalized Bessel and Riesz potentials
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