Parabolic Maximal Operators Along Surfaces of Revolution with Rough Kernels
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DOI: 10.1007/s00009-019-1436-5
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… read more here.
Keywords: revolution rough; along surfaces; surfaces revolution; maximal operators ... See more keywords
A Note on Parabolic Maximal Operators along Surfaces of Revolution via Extrapolation
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DOI: 10.3390/sym14061147
Abstract: Under weak conditions on the kernels, we obtain sharp Lp bounds for rough parabolic maximal integral operators over surfaces of revolution. By virtue of these bounds along with Yano’s extrapolation argument, we confirm the Lp… read more here.
Keywords: parabolic maximal; extrapolation; surfaces revolution; note parabolic ... See more keywords