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
Averaging Operators Along a Certain Type of Surfaces with Hypersingularity
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DOI: 10.11650/tjm/191101
Abstract: R f(x− C(s)) ds s , x ∈ R with an appropriate curve C(s) = (s, c(s)) in Rn. It is a very well-known fact due to E. M. Stein and S. Wainger [5] that… read more here.
Keywords: along certain; type surfaces; operators along; averaging operators ... See more keywords