Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in R-n

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	Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in R-n
	Lv, Xiaofen ; Hu, Zhangjian ; Lv XF(吕小芬)
刊名	http://dx.doi.org/10.1002/mana.201100062
	2013
关键词	DUALITY
英文摘要	National Natural Science Foundation of China [10771064, 11101139, 11271124]; Natural Science Foundation of Zhejiang province [Y7080197, Y6090036, Y6100219]; Foundation of Creative Group in Colleges and Universities of Zhejiang Province [T200924]; On the setting of the bounded domain Omega in R-n with C infinity boundary, we introduce the Schatten-Herz classes Toeplitz operators. And in term of averaging functions and Berezin transforms, we characterize those finite positive Borel measures on for which the induced Toeplitz operators are in Shatten-Herz classes. As some preliminary results, we obtain the sharp estimate of integral means for the harmonic Bergman kernel on the level surface and the boundedness of the Berezin transform on the Herz spaces.
语种	英语
出版者	WILEY-V C H VERLAG GMBH
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91307]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lv, Xiaofen,Hu, Zhangjian,Lv XF. Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in R-n[J]. http://dx.doi.org/10.1002/mana.201100062,2013.
APA	Lv, Xiaofen,Hu, Zhangjian,&吕小芬.(2013).Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in R-n.http://dx.doi.org/10.1002/mana.201100062.
MLA	Lv, Xiaofen,et al."Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in R-n".http://dx.doi.org/10.1002/mana.201100062 (2013).