Norm of difference of general polynomial weighted differentiation composition operators from Cauchy transform spaces into derivative Hardy spaces

Author(s):

Ebrahim Abbasi* , Ajay K‎. ‎Sharma , Kamal ‎Khalilpour

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎In this paper‎, ‎we investigated boundedness of difference of general polynomial weighted differentiation composition operators from Cauchy transform spaces into function spaces $S=\{f:\ \ f'\in H^1\}$ and $S^2=\{f:\ \ f'\in H^2\}$ with derivative in Hardy spaces‎. ‎‎‎We also obtained an exact formula for the norm of this operator and prove that there is no composition isometry from the Cauchy transform spaces into $S$ and $S^2$ ‎spaces.‎

Keywords:

B‎Oundedness‎ , ‎Cauchy Transform Space‎ , ‎Isometry‎ , ‎Norm‎

Language:
English
Published:
Journal of Mathematical Extension, Volume:18 Issue: 10, Oct 2024
Page:
6
https://www.magiran.com/p2826150  
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