Weighted norm inequalities of the maximal commutator of quasiradial Bochner-Riesz operators
- Authors
- Kim, Yong Cheol
- Issue Date
- 9월-2013
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Commutator; quasiradial Bochner-Riesz operators; weighted norm inequalities
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.29, no.9, pp.1743 - 1756
- Indexed
- SCIE
SCOPUS
- Journal Title
- ACTA MATHEMATICA SINICA-ENGLISH SERIES
- Volume
- 29
- Number
- 9
- Start Page
- 1743
- End Page
- 1756
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/102210
- DOI
- 10.1007/s10114-013-1335-9
- ISSN
- 1439-8516
- Abstract
- In this paper, we obtain certain L (w) (p) (a"e (n) )-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index delta under certain surface condition on I pound (I +/- d) , provided that delta > (n - 1)/2, b a BMO(a"e (n) ), 1 < p < a and w a A (1). Moreover, if delta > (n - 1)/2, then we prove that the above maximal operator admits weak type (H (w) (1) (a"e (n) ), L (w) (1) (a"e (n) ))-mapping properties for b a BMO(a"e (n) ) and w a A (1) under the surface condition on I pound (I +/- d) .
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