Acta mathematica scientia, Series B >
ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS
Received date: 2009-04-08
Online published: 2011-05-20
Supported by
Supported by NSF of China (10861010).
Let L=-ΔHn+V be the Schr"odinger operator on the Heisenberg groups Hn, where V is a nonnegative function satisfying the reverse H\"older inequality. In this article, the author obtains the BMOL and BLOL estimates of the fractional integrals associated to L.
Key words： Schr\"odinger operator; Heisenberg group; BMOL; BLOL; fractional integral
JIANG Yin-Sheng . ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 993 -1000 . DOI: 10.1016/S0252-9602(11)60291-9
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