On products of Sobolev-Orlicz spaces-Reference-Cited by-同舟云学术

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On products of Sobolev-Orlicz spaces

Published:1990-12 Issue:3 Volume:42 Page:427-436
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Appell J.,Hardy G.

Abstract

We give conditions under which pointwise multiplication is a continuous bounded operation on kth order Sobolev-Orlicz spaces. This result is used to derive a sufficient condition under which the superposition operator is a continuous bounded operator on these spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference30 articles.

1. [29] Zabrejko P.P. , On the theory of integral operators in ideal function spaces, (Russian) (Doct. Dissertation, Univ. Voronezh, 1968).

2. On the products of Orlicz spaces;Wang;Bull. Acad. Polon. Sci.,1963

3. Composition of functions in Sobolev spaces

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. References;Applications Of Orlicz Spaces;2002-02-08

2. Continuity of the superposition operator on Orlicz-Sobolev spaces;Bulletin of the Australian Mathematical Society;1994-08

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