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• W4286567605 abstract "Let T be a rooted, countable infinite tree without terminal vertices. Suppose that the degrees of the vertices of T are bounded. In this paper, we obtain a new upper bound for the norm of the operator ∇ on the Lp space of T. Moreover, we establish several sufficient conditions for Toeplitz operators to be compact on Lp with 1⩽p⩽∞. This answers two questions concerning the norm estimate of ∇ and the compactness of Toeplitz operators posed by Colonna and Martínez-Avendaño (2017) [10]." @default.
• W4286567605 created "2022-07-22" @default.
• W4286567605 creator A5021636467 @default.
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• W4286567605 date "2022-12-01" @default.
• W4286567605 modified "2023-10-17" @default.
• W4286567605 title "Toeplitz operator and the operator ∇ on the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msup><mml:mrow><mml:mi mathvariant=script>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> space of a tree" @default.
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• W4286567605 doi "https://doi.org/10.1016/j.jmaa.2022.126540" @default.
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