Paraproducts and the exponential-square class

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Abstract

We prove that if a locally integrable f has a pointwise bounded dyadic square function, where the square function is defined with respect to a so-called "accretive" weight b, then f is locally exponentially square integrable. We generalize the result to d dimensions by means of "canonical" Haar functions for L2(Rd). © 2002 Elsevier Science (USA). All rights reserved.

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APA

Wilson, J. M. (2002). Paraproducts and the exponential-square class. Journal of Mathematical Analysis and Applications, 271(2), 374–382. https://doi.org/10.1016/S0022-247X(02)00121-X

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