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Singular Integral Operators on Besov Spaces
Author(s) -
Yabuta Kǒzǒ
Publication year - 1988
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19881360112
Subject(s) - mathematics , modulus of continuity , singular integral , singular integral operators , pure mathematics , singular integral operators of convolution type , operator theory , mathematical analysis , oscillation (cell signaling) , fourier integral operator , besov space , interpolation space , microlocal analysis , functional analysis , type (biology) , integral equation , ecology , biochemistry , chemistry , genetics , gene , biology
Abstract Summary. We introduce generalized B ESOV spaces in terms of mean oscillation and weight functions, following a recent work of Dorronsoro, and study the continuity of singular integral operators on them. Relations between these spaces and the B ESOV spaces in terms of modulus of continuity are also studied. An application to pseudo‐differential operators is given.