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The main purpose of this paper is to establish H\"older estimates for the Cauchy transform in a class of finite/infinite type convex domains in $\mathbb{C}^2$.
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참고문헌 (21)
참고문헌 신청
K. Adachi / 1996 / Some Lipschitz regularity of the Cauchy transform on a convex domain in C2 with real analytic boundary / Commun. Korean Math. Soc 11(4):975~981
Patrick Ahern / 1979 / Holomorphic Lipschitz Functions in Pseudoconvex Domains / American Journal of Mathematics 101(3):543~565
So-Chin Chen / 1990 / Real Analytic Boundary Regularity of the Cauchy Kernel on Convex Domains / Proceedings of the American Mathematical Society 108(2):423~432
Ly Kim Ha / 2017 / Tangential Cauchy–Riemann Equations on Pseudoconvex Boundaries of Finite and Infinite Type in $$\mathbb {C}^2$$ C 2 / Results in Mathematics 72(1-2):105~124
Loredana Lanzani / 2013 / Cauchy-type integrals in several complex variables / Bulletin of Mathematical Sciences 3(2):241~285
Patrick Ahern / 1979 / Holomorphic Lipschitz Functions in Pseudoconvex Domains / American Journal of Mathematics 101(3):543~565
So-Chin Chen / 1990 / Real Analytic Boundary Regularity of the Cauchy Kernel on Convex Domains / Proceedings of the American Mathematical Society 108(2):423~432
Ly Kim Ha / 2017 / Tangential Cauchy–Riemann Equations on Pseudoconvex Boundaries of Finite and Infinite Type in $$\mathbb {C}^2$$ C 2 / Results in Mathematics 72(1-2):105~124
Loredana Lanzani / 2013 / Cauchy-type integrals in several complex variables / Bulletin of Mathematical Sciences 3(2):241~285
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