Some higher norm inequalities for composition of power operators

Abstract In this paper, we first prove the local L s $L^{s}$ norm estimate of composite operators △ k G m ( u ) $\triangle^{k}G^{m}(u)$ by use of the L s $L^{s}$ norm of u. Then we establish the local and global higher norm inequalities of △ k G m ( u ) $\triangle^{k}G^{m}(u)$ . Simultaneously, we a...

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Bibliographic Details
Main Authors: Huacan Li, Qunfang Li
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02372-2