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The basis property of the Legendre polynomials in the variable exponent Lebesgue space $ L^{p(x)}(-1,1)$

✍ Scribed by Sharapudinov, Idris I


Book ID
120008373
Publisher
Turpion Limited
Year
2009
Tongue
English
Weight
408 KB
Volume
200
Category
Article
ISSN
1064-5632

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The maximal operator in Lebesgue spaces
✍ Peter A. HΓ€stΓΆ πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract This article contains results about the boundedness of the Hardy–Littlewood 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