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Sharp bounds and T1 theorem for Calder\'on-Zygmund operators with matrix kernel on matrix weighted spaces. (arXiv:1705.06105v1 [math.CA])
来源于:arXiv
For a matrix A_2 weight W on R^p, we introduce a new notion of
W-Calder\'on-Zygmund matrix kernels, following earlier work in by Isralowitz.
We state and prove a T1 theorem for such operators and give a representation
theorem in terms of dyadic W-Haar shifts and paraproducts, in the spirit of
Hyt\"onen's Representation Theorem. Finally, by means of a Bellman function
argument, we give sharp bounds for such operators in terms of bounds for
weighted matrix martingale transforms and paraproducts. 查看全文>>
