Toeplitz operators between large Fock spaces in several complex variables
Keyword(s):
<abstract><p>Let $ \omega $ belong to the weight class $ \mathcal{W} $, the large Fock space $ \mathcal{F}_{\omega}^{p} $ consists of all holomorphic functions $ f $ on $ \mathbb{C}^{n} $ such that the function $ f(\cdot)\omega(\cdot)^{1/2} $ is in $ L^p(\mathbb{C}^{n}, dv) $. In this paper, given a positive Borel measure $ \mu $ on $ {\mathbb C}^n $, we characterize the boundedness and compactness of Toeplitz operator $ T_\mu $ between two large Fock spaces $ F^{p}_\omega $ and $ F^{q}_\omega $ for all possible $ 0 < p, q < \infty $.</p></abstract>
2015 ◽
Vol 92
(2)
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pp. 316-324
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2007 ◽
Vol 59
(4)
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pp. 555-578
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2019 ◽
Vol 244
(1)
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pp. 1-21
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2009 ◽
Vol 63
(4)
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pp. 547-555
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2019 ◽
Vol 49
(8)
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pp. 2689-2716
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