This paper studies the mixed radial-angular integrability of parametric Marcinki-ewicz integrals along "polynomial curves". Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness, the authors prove that such operators are bounded on the mixed radial-angular spaces. Meanwhile, corresponding vector-valued versions are also obtained.
Ronghui LIU
,
Feng LIU
,
Huoxiong WU
. ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS[J]. Acta mathematica scientia, Series B, 2021
, 41(1)
: 241
-256
.
DOI: 10.1007/s10473-021-0114-4
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