ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS

doi:10.1016/S0252-9602(11)60291-9

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 993-1000.doi: 10.1016/S0252-9602(11)60291-9

ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS

江寅生

College of Mathematics and System |Sciences, Xinjiang University, Urumqi 830046, China

收稿日期:2009-04-08 出版日期:2011-05-20 发布日期:2011-05-20
基金资助:
Supported by NSF of China (10861010).

ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS

JIANG Yin-Sheng

College of Mathematics and System |Sciences, Xinjiang University, Urumqi 830046, China

Received:2009-04-08 Online:2011-05-20 Published:2011-05-20
Supported by:
Supported by NSF of China (10861010).

摘要/Abstract

摘要：

Let L=-Δ_Hⁿ+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 BMO_L and BLO_L estimates of the fractional integrals associated to L.

关键词: Schr\"odinger operator, Heisenberg group, BMO_L, BLO_L, fractional integral

Abstract:

Key words: Schr\"odinger operator, Heisenberg group, BMO_L, BLO_L, fractional integral

中图分类号:

42B30

江寅生. ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS[J]. 数学物理学报(英文版), 2011, 31(3): 993-1000.

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.

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ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS

ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUPS

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