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AuthorAli, Mohammed
AuthorAl-Qassem, Hussain
Available date2022-10-26T17:18:00Z
Publication Date2022-10
Publication NameMathematics
Identifierhttp://dx.doi.org/10.3390/math10203727
CitationAli, M., & Al-Qassem, H. (2022). A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution. Mathematics, 10(20), 3727.
ISSN2227-7390
URIhttp://hdl.handle.net/10576/35473
AbstractIn this article, certain sharp Lp estimates for a specific class of generalized Marcinkiewicz operators with mixed homogeneity associated to surfaces of revolution are established. By virtue of Yano’s extrapolation argument, beside these estimates, the Lp boundedness of the aforementioned operators under weaker assumptions on the kernels is confirmed. The obtained results in this article are fundamental extensions and improvements of numerous previously known results on parabolic generalized Marcinkiewicz integrals.
Languageen
PublisherMDPI
Subjectextrapolation
Triebel–Lizorkin space
generalized Marcinkiewicz
rough kernels
TitleA Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution
TypeArticle
Issue Number20
Volume Number10
dc.accessType Open Access


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