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2021 | OriginalPaper | Chapter

Norm Estimates for the Composite Operators

Authors : Shusen Ding, Guannan Shi, Yuming Xing

Published in: Nonlinear Analysis and Global Optimization

Publisher: Springer International Publishing

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Abstract

In this paper, we obtain both local and global L ^p norm inequalities and imbedding inequalities for the composition of the homotopy operator, differential operator, and Green’s operator applied to differential forms. These inequalities can be used to study the integrability of the composition of the operators.

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Title: Norm Estimates for the Composite Operators
Authors: Shusen Ding
Guannan Shi
Yuming Xing
Publisher: Springer International Publishing
Book: Nonlinear Analysis and Global Optimization
Print ISBN: 978-3-030-61731-8

Electronic ISBN: 978-3-030-61732-5

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-61732-5_8

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