Approximate identities and Young type inequalities in Musielak-Orlicz spaces

Title:

Approximate identities and Young type inequalities in Musielak-Orlicz spaces

Creator:

Maeda, Fumi-Yuki, Mizuta, Yoshihiro, Ohno, Takao, and Shimomura, Tetsu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:969d63f4-5896-4247-82f9-17f7367f1e9f
uuid:969d63f4-5896-4247-82f9-17f7367f1e9f

Subject:

approximate identity, Musielak-Orlicz space, and Young type inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We discuss the convergence of approximate identities in Musielak-Orlicz spaces extending the results given by Cruz-Uribe and Fiorenza (2007) and the authors F.-Y. Maeda, Y. Mizuta and T. Ohno (2010). As in these papers, we treat the case where the approximate identity is of potential type and the case where the approximate identity is defined by a function of compact support. We also give a Young type inequality for convolution with respect to the norm in Musielak-Orlicz spaces.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

933-948

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:4

Harvested from:

CDK

Metadata only:

false