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Parabolic Maximal Operators Along Surfaces of Revolution with Rough Kernels

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In this work, we study the \(L^p\) estimates for a certain class of rough maximal functions with mixed homogeneity associated with the surfaces of revolution. Using these estimates with an… Click to show full abstract

In this work, we study the \(L^p\) estimates for a certain class of rough maximal functions with mixed homogeneity associated with the surfaces of revolution. Using these estimates with an extrapolation argument, we obtain some new results that represent substantially improvements and extensions of many previously known results on maximal operators.

Keywords: revolution rough; along surfaces; surfaces revolution; maximal operators; parabolic maximal; operators along

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019

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