Norm Estimates for the Composite Operators

Shusen Ding (), Guannan Shi () and Yuming Xing ()
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Shusen Ding: Seattle University
Guannan Shi: Northeast Petroleum University
Yuming Xing: Harbin Institute of Technology

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 193-206 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_8

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DOI: 10.1007/978-3-030-61732-5_8

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