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AuthorAl-Qassem, Hussain M.
AuthorCheng, Leslie C.
AuthorPan, Yibiao
Available date2024-02-06T09:19:37Z
Publication Date2011-12-01
Publication NameHokkaido Mathematical Journal
Identifierhttp://dx.doi.org/10.14492/hokmj/1300108396
CitationAl-Qassem, H. M., Cheng, L. C., & Yibiao, P. A. N. (2011). On the boundedness of a class of rough maximal operators on product spaces. Hokkaido Mathematical Journal, 40(1), 1-32.‏
ISSN03854035
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84893865997&origin=inward
URIhttp://hdl.handle.net/10576/51602
AbstractIn this paper, we study the Lp boundedness of a class of maximal operators T (γ) {Ωj} and a related class of rough singular integrals on product spaces. We obtain appropriate Lp estimates for such maximal operators and singular integrals. These estimates are used in an extrapolation argument and allow us to obtain some new and improved results for certain maximal integral operators and singular integrals on product spaces under certain sharp conditions on the kernel functions. Also, one of our main results in this paper is a corrigendum of a result obtained by Ding-Lin.
Languageen
SubjectBlock spaces
L log L spaces
L boundedness p
Maximal operator
Product spaces
Rough kernel
Singular integral
TitleOn the boundedness of a class of rough maximal operators on product spaces
TypeArticle
Pagination1-32
Issue Number1
Volume Number40
dc.accessType Open Access


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