Weighted inequlities for a generalized dyadic maximal operator involving the infinite product
Abstract
We define a generalized dyadic maximal operator involving the infinite product and discuss weighted inequalities for the operator. A formulation of the Carleson embedding theorem is proved. Our results depend heavily on a generalized Hölder's inequalities.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.6760
- arXiv:
- arXiv:1404.6760
- Bibcode:
- 2014arXiv1404.6760C
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 42B25;
- 42B35
- E-Print:
- 17pages. arXiv admin note: text overlap with arXiv:1401.1439