Estimates for Lipschitz and BMO Norms of Operators on Differential Forms

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, Differential Equations, and Applications, 2021, pp 81-99 from Springer

Abstract: Abstract In this paper, we introduce the generalized Lipschitz and BMO norms of differential forms and establish the upper bound estimates for the generalized Lipschitz and BMO norms of operators applied to differential forms. We also demonstrate applications of our main results using examples.

Keywords: Iterated operators; BMOs norm; locLip α s $$_{\alpha }^{s}$$ norm; Upper boundedness (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-72563-1_5

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DOI: 10.1007/978-3-030-72563-1_5

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