Generalized Parabolic Marcinkiewicz Integral Operators Related to Surfaces of Revolution

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 07 Dec 2019 English Publisher:MDPI AGJournal:Mathematics, volume 7, page 1,200 (eissn: 2227-7390,

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Authors: Amer Darweesh; Mohammed Ali;

doi: 10.3390/math7121200

Generalized Parabolic Marcinkiewicz Integral Operators Related to Surfaces of Revolution

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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.

Related Organizations

Jordan University of Science and Technology
Jordan

Keywords

parabolic Marcinkiewicz integrals, rough kernels, extrapolation, <i>L<sup>p</sup></i> boundedness, Triebel–Lizorkin spaces

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