Detailed Information
Cited time in 
Cited time in 
Cited time in
Metadata Downloads
Note on Nikodym maximal in the variable Lebesgue spaces
- Author(s)
- Choi, Yutae, Koh, Youngwoo, Lee, Jungjin
- Issued Date
- 2017-02
- Citation
- MATHEMATISCHE NACHRICHTEN, v.290, no.2-3, pp.187 - 200
- Abstract
- In this paper we consider the k-plane Nikodym maximal estimates in the variable Lebesgue spaces Lp(-) (R-n). We first formulate the problem about the boundedness of the k-plane Nikodym maximal and show that the maximal estimate in L-p(R-n) is equivalent to that in Lp(-) (R-n) for p(.) is an element of LHo boolean AND N-infinity. So, the optimal Nikodym maximal estimate in Lp(-) (R-2) follows from Cordoba's estimate.
- Publisher
- WILEY-V C H VERLAG GMBH
- ISSN
- 0025-584X
- Keyword (Author)
- k-plane Nikodym maximal estimate, variable Lebesgue space
- Keyword
- BOCHNER-RIESZ, OPERATOR, IMPLIES
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.