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A remark on optimal data spaces for classical solutions of \(\bar{\partial}\)

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Publication:2152810
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DOI10.1216/rmj.2022.52.499OpenAlexW4280580422MaRDI QIDQ2152810

Yifei Pan, Martino Fassina, Yuan Zhang

Publication date: 11 July 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14650


zbMATH Keywords

weak solutions\(\bar{\partial}\)-equationlog-continuous spaces


Mathematics Subject Classification ID

Integral operators (45P05) Integral equations with kernels of Cauchy type (45E05)


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A local obstruction for elliptic operators with real analytic coefficients on flat germs



Cites Work

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  • Cauchy singular integral operator with parameters in log-Hölder spaces
  • Some integration problems in almost-complex and complex manifolds
  • Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates
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