Bilinear spherical maximal functions of product type

Abstract

In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón-Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. We deal with lacunary and full versions of this operator, and we prove weighted estimates with respect to bilinear weights. Our approach involves sparse forms following ideas by Lacey, but we also use other techniques to handle the particular triplet $(2,2,1)$.

arXiv comment24 pages, 2 figures

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Cited by in corpus (1)

• $L^p$ estimates for multilinear convolution operators defined with spherical measure