In this work, we investigate the boundedness of the double Hilbert transform on the endpoint of the mixed-norm Lebesgue spaces. We also give the boundedness of the fractional double Hilbert transform on mixed Lebesgue spaces for the general cases, and then especially on one kind of endpoint cases.
CUI Xiaona
,
YAN Dunyan
. Boundedness of double Hilbert transform and fractional double Hilbert transform on mixed Lebesgue spaces[J]. Journal of University of Chinese Academy of Sciences, 2017
, 34(3)
: 273
-276
.
DOI: 10.7523/j.issn.2095-6134.2017.03.001
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