Boundedness of maximal functions in Lp spaces
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Abstract
In this paper, we derive suitable Lp bounds for a specific class of maximal operators defined along the surface of revolution, where the kernels belong to Lq(Sn-1) with q > 1. Using these bounds in conjunction with extrapolation techniques, we establish the Lp boundedness of the maximal operator when its kernels lie in the block space Bq(0, s-1)(Sn-1) or in (L log L)s(Sn-1).
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Al-Shatnawi, B. (2025). Boundedness of maximal functions in Lp spaces. Gulf Journal of Mathematics, 19(1), 93-101. https://doi.org/10.56947/gjom.v19i1.2412
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