On local properties of functions and singular integrals in terms of the mean oscillation |
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| Authors: | Rahim M Rzaev Lala R Aliyeva |
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| Institution: | (1) Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan |
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| Abstract: | This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their
mean oscillation. The conditions guaranteeing existence of a derivative in the L
p
-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered.
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| Keywords: | mean oscillation local properties of functions singular integrals |
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