On the boundedness of a certain class of maximal functions on product spaces and extrapolation
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DOI: 10.1007/s13324-018-0208-x
Abstract: In this paper, we establish $$L^{p}$$Lp estimates for certain class of maximal functions on product domains with rough kernels in $${L^{q}}(\mathbf S ^{n-1}\times \mathbf S ^{m-1})\,(n,m\ge 2).$$Lq(Sn-1×Sm-1)(n,m≥2). These estimates are used in an extrapolation argument… read more here.
Keywords: class maximal; maximal functions; functions product; certain class ... See more keywords