Integral Norm Inequalities for Various Operators on Differential Forms

Shusen Ding (), Dylan Helliwell (), Gavin Pandya () and Arthur Yae ()
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Shusen Ding: Seattle University, Department of Mathematics
Dylan Helliwell: Seattle University, Department of Mathematics
Gavin Pandya: Seattle University, Department of Mathematics
Arthur Yae: Seattle University, Department of Mathematics

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 677-693 from Springer

Abstract: Abstract We obtain integral norm estimates for the homotopy operator, the potential operator, and their composition applied to differential forms. Initial results are established for all differential forms, while stronger results are shown to hold for solutions to the A-harmonic equation.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_33

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DOI: 10.1007/978-3-030-28950-8_33

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