Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/107046
 Title: Weighted BMO and Hankel operators between weighted Bergman spaces Author: Pau, JordiZhao, RuhanZhu, Keke Keywords: Operadors linealsTeoria d'operadorsFuncions de diverses variables complexesLinear operatorsOperator theoryFunctions of several complex variables Issue Date: 2016 Publisher: Indiana University Abstract: We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ and use them to characterize complex functions $f$ such that the big Hankel operators $H_f$ and $H\overline{_f}$ are both bounded or compact from a weighted Bergman space into a weighted Lesbegue space with possibly different exponents and different weights. As a consequence, when the symbol function $f$ is holomorphic, we characterize bounded and compact Hankel operators $H\overline{_f}$ between weighted Bergman spaces. In particular, this resolves two questions left open in [7, 12]. Note: Versió preprint del document publicat a: https://doi.org/10.1512/iumj.2016.65.5882 It is part of: Indiana University Mathematics Journal, 2016, vol. 65, num. 5, p. 1639-1673 Related resource: https://doi.org/10.1512/iumj.2016.65.5882 URI: http://hdl.handle.net/2445/107046 ISSN: 0022-2518 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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