Essential Norms of Volterra Type Operators between Zygmund Type Spaces

We investigate the boundedness of some Volterra type operators between Zygmund type spaces. Then, we give the essential norms of such operators in terms of g,φ, their derivatives, and the nth power φn of φ.

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Main Authors: Shanli Ye, Caishu Lin
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/1409642
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author Shanli Ye
Caishu Lin
author_facet Shanli Ye
Caishu Lin
author_sort Shanli Ye
collection DOAJ
description We investigate the boundedness of some Volterra type operators between Zygmund type spaces. Then, we give the essential norms of such operators in terms of g,φ, their derivatives, and the nth power φn of φ.
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institution Kabale University
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language English
publishDate 2017-01-01
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series Journal of Function Spaces
spelling doaj-art-5ff3095d6cea4624876b041932b5dea32025-02-03T07:26:19ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/14096421409642Essential Norms of Volterra Type Operators between Zygmund Type SpacesShanli Ye0Caishu Lin1School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaDepartment of Mathematics, Fujian Normal University, Fuzhou 350007, ChinaWe investigate the boundedness of some Volterra type operators between Zygmund type spaces. Then, we give the essential norms of such operators in terms of g,φ, their derivatives, and the nth power φn of φ.http://dx.doi.org/10.1155/2017/1409642
spellingShingle Shanli Ye
Caishu Lin
Essential Norms of Volterra Type Operators between Zygmund Type Spaces
Journal of Function Spaces
title Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_full Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_fullStr Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_full_unstemmed Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_short Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_sort essential norms of volterra type operators between zygmund type spaces
url http://dx.doi.org/10.1155/2017/1409642
work_keys_str_mv AT shanliye essentialnormsofvolterratypeoperatorsbetweenzygmundtypespaces
AT caishulin essentialnormsofvolterratypeoperatorsbetweenzygmundtypespaces