Generalized area operators on Lp(<inline-formula><mml:math xmlns:mml=

doi:10.1007/s11464-014-0367-5

Front. Math. China

2014, Vol. 9

Issue (5) : 1051-1072 https://doi.org/10.1007/s11464-014-0367-5

RESEARCH ARTICLE

Generalized area operators on L^p(?n)

Ruifang HU,Bolin MA(

),Xianmin XU

Institute of Mathematics, Jiaxing University, Jiaxing 314001, China

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Abstract

We introduce the generalized area operators by using nonnegative measures defined on upper half-spaces ?+n+1. The characterization of the boundedness and compactness of the generalized area operator from L^p(?n) to L^q(?n) is investigated in terms of s-Carleson measures with 1<p, q<+∞. In the case of p = q = 1, the weak type estimate is also obtained.

Keywords ?n)Space')" href="#">L^p(

)Space area operator s-Carleson measure

Corresponding Author(s): Bolin MA

Issue Date: 26 August 2014

Cite this article:

Ruifang HU,Bolin MA,Xianmin XU. Generalized area operators on L^p(?n)[J]. Front. Math. China, 2014, 9(5): 1051-1072.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0367-5
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I5/1051

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