Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent
β Scribed by V. Kokilashvili; S. Samko
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 401 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __Ο~t,Ξ³~__ (__Ο__) = |(__Ο__ β __t__)^__Ξ³__^ |, where __Ξ³__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point
## Abstract This article contains results about the boundedness of the HardyβLittlewood maximal operator in variable exponent Lebesgue spaces. We study the situation where the exponent approaches one in some parts of the domain. We show that the boundedness depends on how fast the exponent approach