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Article

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Title

Abstract Cesàro Spaces. Optimal Range

Authors

[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee

Year of publication

2015

Published in

Integral Equations and Operator Theory

Journal year: 2015 | Journal volume: vol. 81 | Journal number: no. 2

Article type

scientific article

Publication language

english

Keywords
EN
  • Cesàro function spaces
  • Cesàro operator
  • maximal operator
  • Banach ideal spaces
  • symmetric spaces
  • optimal domain
  • optimal range
Abstract

EN Abstract Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on [0,∞) and on [0, 1], as we can see in Theorem 1. Moreover, we present an improvement of Hardy’s inequality on [0, 1] which plays an important role in these considerations.

Pages (from - to)

227 - 235

DOI

10.1007/s00020-014-2203-4

URL

https://link.springer.com/article/10.1007/s00020-014-2203-4

Ministry points / journal

35

Impact Factor

0,956

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