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On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent

✍ Scribed by Farman I. Mamedov; Yusuf Zeren

Publisher
Springer
Year
2010
Tongue
English
Weight
180 KB
Volume
190
Category
Article
ISSN
0373-3114

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## 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