Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces. Issue 2 (1st February 2017)

• Record Type: Journal Article
• Authors: Sharma, Ajay K.; Krishan, Ram; Subhadarsini, Elina
• Is Part Of: Integral transforms and special functions. Volume 28:Issue 2(2017)
• Page Start: 145
• Page End: 155
• Publication Date: 2017-02-01
• Subjects: Difference of composition operators -- space of Cauchy integral transforms -- Bloch-type space -- little Bloch-type space; MSC 2010: 47B38 -- 46E15; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2016.1255608
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: In this paper, we characterize boundedness and compactness of difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces. Our characterizations are free from pseudo-hyperbolic metric, which is a common feature of all the characterizations of difference of composition operators acting between different spaces of holomorphic functions. Exact value of operator norm of difference of composition operators acting between these spaces is also computed.