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Wiener-Hopf Operators with Slowly Oscillating Matrix Symbols on Weighted Lebesgue Spaces

✍ Scribed by Yu. I. Karlovich; J. Loreto Hernández

Publisher: SP Birkhäuser Verlag Basel
Year: 2009
Tongue: English
Weight: 475 KB
Volume: 64
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-009-1685-y

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## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __φ~t,γ~__ (__τ__) = |(__τ__ – __t__)^__γ__^ |, where __γ__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point