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.

Bibliographic Details
Main Authors: Shanli Ye, Caishu Lin
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/1409642
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spelling doaj-5ff3095d6cea4624876b041932b5dea32020-11-24T23:03:47ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Shanli Ye
Caishu Lin
spellingShingle Shanli Ye
Caishu Lin
Essential Norms of Volterra Type Operators between Zygmund Type Spaces
Journal of Function Spaces
author_facet Shanli Ye
Caishu Lin
author_sort Shanli Ye
title Essential Norms of Volterra Type Operators between Zygmund Type Spaces
title_short 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_sort essential norms of volterra type operators between zygmund type spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2017-01-01
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.
url http://dx.doi.org/10.1155/2017/1409642
work_keys_str_mv AT shanliye essentialnormsofvolterratypeoperatorsbetweenzygmundtypespaces
AT caishulin essentialnormsofvolterratypeoperatorsbetweenzygmundtypespaces
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