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Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", 1983, Volume 21, Pages 42–129 (Mi intm65)  

This article is cited in 52 scientific papers (total in 52 papers)

Weighted estimates for singular integrals and their applications

E. M. Dyn'kin, B. P. Osilenker
Abstract: We give a survey of research on the problem of single-weighted and double-weighted estimates of strong and weak types for the Hardy–Littlewood maximal function, Riesz potentials, singular integral operators, and harmonic functions. Necessary and sufficient conditions on the weight are given under which weighted estimates are valid (Muckenhoupt's $A_p$-condition, Sawyer's condition, etc.). Special attention is given to papers which appeared after 1980 and the latest results, published as reports and preprints.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 3, Pages 2094–2154
DOI: https://doi.org/10.1007/BF02105397
Bibliographic databases:
UDC: 517.444
Language: Russian
Citation: E. M. Dyn'kin, B. P. Osilenker, “Weighted estimates for singular integrals and their applications”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 21, VINITI, Moscow, 1983, 42–129; J. Soviet Math., 30:3 (1985), 2094–2154
Citation in format AMSBIB
\Bibitem{DynOsi83}
\by E.~M.~Dyn'kin, B.~P.~Osilenker
\paper Weighted estimates for singular integrals and their applications
\serial Itogi Nauki i Tekhn. Ser. Mat. Anal.
\yr 1983
\vol 21
\pages 42--129
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intm65}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=736522}
\zmath{https://zbmath.org/?q=an:0568.42009}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 3
\pages 2094--2154
\crossref{https://doi.org/10.1007/BF02105397}
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  • This publication is cited in the following 52 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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