TOEPLITZ OPERATORS BETWEEN FOCK SPACES
2015 ◽
Vol 92
(2)
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pp. 316-324
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Keyword(s):
Given a positive Borel measure ${\it\mu}$ on the $n$-dimensional Euclidean space $\mathbb{C}^{n}$, we characterise the boundedness (and compactness) of Toeplitz operators $T_{{\it\mu}}$ between Fock spaces $F^{\infty }({\it\varphi})$ and $F^{p}({\it\varphi})$ with $0<p\leq \infty$ in terms of $t$-Berezin transforms and averaging functions of ${\it\mu}$. Our result extends recent work of Mengestie [‘On Toeplitz operators between Fock spaces’, Integral Equations Operator Theory78 (2014), 213–224] and others.
2018 ◽
Vol 50
(9)
◽
pp. 1-24
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Keyword(s):
1956 ◽
Vol 52
(3)
◽
pp. 424-430
◽
1963 ◽
Vol 59
(1)
◽
pp. 135-146
◽
2013 ◽
Vol 13
(2)
◽
pp. 1183-1224
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