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- Title
Non-homogeneous Tb Theorem for Bi-parameter g-function.
- Authors
Cao, Ming Ming; Xue, Qing Ying
- 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.
- Subjects
H-functions; HAAR function; HAAR system (Mathematics); PROBABILITY theory; HARMONIC analysis (Mathematics)
- Publication
Acta Mathematica Sinica, 2018, Vol 34, Issue 9, p1445
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-018-7431-0