On local properties of functions and singular integrals in terms of the mean oscillation
Rahim Rzaev, Lala Aliyeva (2008)
Open Mathematics
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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.