Generalized Parabolic Marcinkiewicz Integral Operators Related to Surfaces of Revolution

Amer Darweesh and Mohammed Ali
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Amer Darweesh: Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Mohammed Ali: Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan

Mathematics, 2019, vol. 7, issue 12, 1-13

Abstract: In this work, the generalized parametric Marcinkiewicz integral operators with mixed homogeneity related to surfaces of revolution are studied. Under some weak conditions on the kernels, the boundedness of such operators from Triebel–Lizorkin spaces to L p spaces are established. Our results, with the help of an extrapolation argument, improve and extend some previous known results.

Keywords: parabolic Marcinkiewicz integrals; rough kernels; Triebel–Lizorkin spaces; L p boundedness; extrapolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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