Boundedness of a class of bi-parameter square functions in the upper half-space
classification
🧮 math.CA
keywords
bi-parameterboundednessclassfunctionshalf-spaceproofsquareupper
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We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes.
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