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Non-homogeneous Tb Theorem for Bi-parameter g-function.
- Source :
-
Acta Mathematica Sinica . Sep2018, Vol. 34 Issue 9, p1445-1459. 15p. - Publication Year :
- 2018
-
Abstract
- The main result of this paper is a bi-parameter Tb theorem for Littlewood-Paley g-function, where b is a tensor product of two pseudo-accretive function. Instead of the doubling measure, we work with a product measure μ = μn × μm, where the measures μn and μm are only assumed to be upper doubling. The main techniques of the proof include a bi-parameter b-adapted Haar function decomposition and an averaging identity over good double Whitney regions. Moreover, the non-homogeneous analysis and probabilistic methods are used again. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 34
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 131050302
- Full Text :
- https://doi.org/10.1007/s10114-018-7431-0