Weighted composition operators between different weighted Bergman spaces and different Hardy spaces

Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
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DOI:
10.1215/ijm/1258138425
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发表时间:
2007-04
影响因子:
0.6
通讯作者:
Z. C̆uc̆ković;R. Zhao
Z. C̆uc̆ković;R. Zhao
中科院分区:
--
文献类型:
--
作者:
Z. C̆uc̆ković;R. Zhao

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. We characterize bounded and compact weighted composition operators acting between weighted Bergman spaces and between Hardy spaces. Our results use certain integral transforms that gener-alize the Berezin transform. We also estimate the essential norms of these operators. As applications, we characterize bounded and compact pointwise multiplication operators between weighted Bergman spaces and estimate their essential norms.