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Singular operators and Fourier multipliers in weighted Lebesgue spaces with variable index

✍ Scribed by V. M. Kokilashvili; S. G. Samko

Book ID
111502539
Publisher
Allerton Press, Inc.
Year
2008
Tongue
English
Weight
206 KB
Volume
41
Category
Article
ISSN
1063-4541

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## Abstract We study the boundedness of singular CalderΓ³n–Zygmund type operators in the spaces __L__^__p__ (Β·)^(Ξ©, __ρ__) over a bounded open set in ℝ^__n__^ with the weight __ρ__ (__x__) = $ \prod ^m\_{k=1} $ __w__~__k__~ (|__x__ – __x__~__k__~ |), __x__~__k__~ ∈ $ \bar \Omega $, where __w__~__k