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