Chih-Chieh Hung, Chun-Yen Shen
Published 2020-10-07Version 1
We provide elementary proofs for the terms that are left in the work of Kelly Bickel, Sandra Pott, Maria Carmen Reguera, Eric T. Sawyer, Brett D. Wick who proved the sharp weighted $A_2$ bound for Hair shifts and Haar multiplier. Our proofs use weighted square function estimate, Carleson embedding and Wilson's system.
Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions
Sharp weighted bounds without testing or extrapolation
The sharp weighted bound for general Calderon-Zygmund operators
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