Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(4): 1171-1180

Online first article June 28, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170354

Copyright © The Korean Mathematical Society.

Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces

Ajay K. Sharma, Mehak Sharma, Elina Subhadarsini

Central University of Jammu, Shri Mata Vaishno Devi University, Shri Mata Vaishno Devi University

Abstract

In this paper, we prove that boundedness with respect to metric balls of weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces is equivalent to metrical compactness of weighted composition operators between these spaces.

Keywords: weighted composition operators, Kim class, Smirnov class, weighted Bloch type spaces

MSC numbers: Primary 47B38; Secondary 30H15, 30H30