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- W2345256586 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 functions. Instead of the doubling measure, we work with a product measure $mu = mu_n times mu_m$, where the measures $mu_n$ and $mu_m$ 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." @default.
- W2345256586 created "2016-06-24" @default.
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- W2345256586 date "2016-04-24" @default.
- W2345256586 modified "2023-09-26" @default.
- W2345256586 title "Non-homogeneous $Tb$ Theorem for Bi-parameter $g$-Function" @default.
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- W2345256586 doi "https://doi.org/10.48550/arxiv.1604.07037" @default.
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