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Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves

✍ Scribed by V. S. Rabinovich; S. G. Samko

Book ID
113065609
Publisher
Springer US
Year
2012
Tongue
English
Weight
143 KB
Volume
46
Category
Article
ISSN
0016-2663

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Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves
✍ Alexei Yu. Karlovich πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 142 KB πŸ‘ 1 views

## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __Ο†~t,Ξ³~__ (__Ο„__) = |(__Ο„__ – __t__)^__Ξ³__^ |, where __Ξ³__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point