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AuthorAl-Qassem, Hussain Mohammad
AuthorCheng, Leslie
AuthorPan, Yibiao
Available date2024-02-06T07:02:18Z
Publication Date2014-01-01
Publication NameStudia Mathematica
Identifierhttp://dx.doi.org/10.4064/sm221-3-4
CitationAl-Qassem, H., Cheng, L., & Pan, Y. (2014). Rough oscillatory singular integrals on ℝⁿ. Studia Mathematica, 3(221), 249-267.‏
ISSN00393223
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84908381318&origin=inward
URIhttp://hdl.handle.net/10576/51570
AbstractWe establish sharp bounds for oscillatory singular integrals with an arbitrary real polynomial phase P. The kernels are allowed to be rough both on the unit sphere and in the radial direction. We show that the bounds grow no faster than log deg(P), which is optimal and was first obtained by Papadimitrakis and Parissis (2010) for kernels without any radial roughness. Among key ingredients of our methods are an L1 → L2 estimate and extrapolation.
Languageen
PublisherInstytut Matematyczny
SubjectBlock spaces
Extrapolation
L boundedness p
Orlicz spaces
Oscillatory singular integral
Rough kernel
Singular integral
TitleRough oscillatory singular integrals on ℝⁿ
TypeArticle
Pagination249-267
Issue Number3
Volume Number221
dc.accessType Abstract Only


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