Results 291 to 300 of about 4,637,538 (347)

Essential norm of weighted composition operators

Analysis, 2018
Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.
Charu Sharma, Kuldip Raj
openaire   +3 more sources

Essential Norm of Toeplitz Operators on the Fock Spaces

Integral Equations and Operator Theory, 2015
In this paper, we show that, on the generalized Fock space \({F^p(\varphi)}\) with \({1 < p < \infty}\) , the essential norm of a noncompact Toeplitz operator \({T_\mu}\) with \({|\mu|}\) being a Fock–Carleson measure equals its distance to the set of compact Toeplitz operators.
Zhangjian Hu, Jin Lu
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Norm and essential norm of an integral‐type operator from the logarithmic Bloch space to the Bloch‐type space on the unit ball

Mathematical methods in the applied sciences, 2022
We calculate norm and essential norm of an integral‐type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch‐type spaces on the unit ball of ℂn$$ {\mathbb{C}}^n $$ .
S. Stević
semanticscholar   +1 more source

Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces

Mathematica Slovaca, 2020
In this paper, we give several characterizations for boundedness, essential norm and compactness of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces.
Ebrahim Abbasi, H. Vaezi
semanticscholar   +1 more source

Essential Norms of Composition Operators

Integral Equations and Operator Theory, 2004
Recently, there has been considerable interest in studying lower and upper estimates for the essential norms of composition operators in function spaces. Sometimes, as a consequence, a necessary and sufficient condition for the composition operator to be compact on the function space can be obtained.
Barbara D. MacCluer, Pamela Gorkin
openaire   +2 more sources

Essential norms of composition operators and Aleksandrov measures [PDF]

Pacific Journal of Mathematics, 1997
The essential norm of a composition operator on \(H^2\) is calculated in terms of the singular parts of the Aleksandrov measures of the inducing holomorphic map. The argument provides a purely function-theoretic proof of the equivalence of Sarason's compactness condition for composition operators on \(L^1\) and Shapiro's compactness condition for ...
Alec Matheson, Joseph A. Cima
openaire   +1 more source