In this paper, we consider the boundedness of two kinds of the truncated operators from Lp to Lr. For any fixed p we can obtain a variational interval of r, and we characterize the relationship between the interval and the fractional operators. We also give an estimate of the upper bound of the norm of the operator.
CUI Xiaona
,
YAN Dunyan
. The boundedness of the fractional truncation operators[J]. Journal of University of Chinese Academy of Sciences, 2015
, 32(4)
: 433
-436
.
DOI: 10.7523/j.issn.2095-6134.2015.04.001
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