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20142024
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6 papers · 1 filter

math.FA2024

Kernel-induced distance and its applications to Composition operators on Large Bergman spaces

Inyoung Park

In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with a rapidly decreasing weight , $…

math.FA2021

Difference of Composition operators over Bergman spaces with exponential weights

Inyoung Park

In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with weight , in terms of the…

math.FA2019

Compact differences of composition operators on large weighted Bergman spaces

Inyoung Park

While there have been extensive studies regarding the theory of composition operators in standard Bergman spaces, there have not been many results pertaining to large Bergman space…

math.FA2017

The weighted composition operators on the large weighted Bergman spaces

Inyoung Park

In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the p…

math.FA2014

Positive Toeplitz operators on Large Bergman spaces in the unit disk

Inyoung Park

We study positive Toeplitz operators on the Bergman spaces having the fast decreasing weight functions in a certain class. We give the characterizations for the boundedness and com…

math.FA2014

Schatten class Toeplitz operators acting on large weighted Bergman spaces

Hicham Arroussi, Inyoung Park, Jordi Pau

A full description of the membership in the Schatten ideal for of the Toeplitz operator acting on large weighted Bergman spaces is obtained.