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WEIGHTED Lp BOUNDEDNESS OF CARLESON TYPE MAXIMAL OPERATORS.
- Source :
-
Proceedings of the American Mathematical Society . Aug2012, Vol. 140 Issue 8, p2739-2751. 13p. - Publication Year :
- 2012
-
Abstract
- In 2001, E. M. Stein and S. Wainger gave the Lp boundedness of the Carleson type maximal operator Τ*, which is defined by Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. In this paper, the authors show that if K is a homogeneous kernel, i.e. K(y) = Ω(y!)|y|--n, then Stein-Wainger's result still holds on the weighted Lp spaces when Ω satisfies only an Lq-Dini condition for some 1 < q ≤ ∞. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 140
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 74630600
- Full Text :
- https://doi.org/10.1090/S0002-9939-2011-11110-9