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.
@article{bwmeta1.element.doi-10_2478_s11533-008-0046-4,
author = {Rahim Rzaev and Lala Aliyeva},
title = {On local properties of functions and singular integrals in terms of the mean oscillation},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {595-609},
zbl = {1153.26308},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0046-4}
}
Rahim Rzaev; Lala Aliyeva. On local properties of functions and singular integrals in terms of the mean oscillation. Open Mathematics, Tome 6 (2008) pp. 595-609. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0046-4/
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