Abstract:
We investigate the compactness of embeddings of certain subsets of Nikol'skii–Besov spaces (defined on $\mathbb R^d$), consisting of essentially subradial functions, into Lebesgue spaces. Particular decay properties of radial functions are our main tool here.
Citation:
Winfried Sickel, Leszek Skrzypczak, “Subradial functions and compact embeddings”, Function spaces and related problems of analysis, Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 284, MAIK Nauka/Interperiodica, Moscow, 2014, 224–242; Proc. Steklov Inst. Math., 284 (2014), 216–234
\Bibitem{SicSkr14}
\by Winfried~Sickel, Leszek~Skrzypczak
\paper Subradial functions and compact embeddings
\inbook Function spaces and related problems of analysis
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 284
\pages 224--242
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3522}
\crossref{https://doi.org/10.1134/S0371968514010166}
\elib{https://elibrary.ru/item.asp?id=21249115}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2014
\vol 284
\pages 216--234
\crossref{https://doi.org/10.1134/S0081543814010167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335559000015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899872347}
Linking options:
https://www.mathnet.ru/eng/tm3522
https://doi.org/10.1134/S0371968514010166
https://www.mathnet.ru/eng/tm/v284/p224
This publication is cited in the following 3 articles: