Bounded and compact Hankel operators on the Fock-Sobolev spaces
Filomat, Tome 36 (2022) no. 14, p. 4767
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This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces F p,m in terms of symbols in BMO p r and VMO p r spaces, respectively, for a non-negative integers m, 1 ≤ p ∞ and r > 0. Along the way, we also study Berezin transform of Hankel operators on Fᴾ,ᵐ .
Classification :
47B35, 30H20, 30H35
Keywords: Fock-Sobolev spaces, Hankel operators, Berezin transform, BMOᴾ spaces, VMOᴾ spaces
Keywords: Fock-Sobolev spaces, Hankel operators, Berezin transform, BMOᴾ spaces, VMOᴾ spaces
Anuradha Gupta; Bhawna Gupta. Bounded and compact Hankel operators on the Fock-Sobolev spaces. Filomat, Tome 36 (2022) no. 14, p. 4767 . doi: 10.2298/FIL2214767G
@article{10_2298_FIL2214767G,
author = {Anuradha Gupta and Bhawna Gupta},
title = {Bounded and compact {Hankel} operators on the {Fock-Sobolev} spaces},
journal = {Filomat},
pages = {4767 },
year = {2022},
volume = {36},
number = {14},
doi = {10.2298/FIL2214767G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214767G/}
}
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