# Tangential Cauchy–Riemann Equations on Pseudoconvex Boundaries of Finite and Infinite Type in $$\mathbb {C}^2$$ C 2

Tangential Cauchy–Riemann Equations on Pseudoconvex Boundaries of Finite and Infinite Type in... In this paper, we will present what we think is a natural extension of the finite type condition in the sense of Range on pseudoconvex domains. This type condition generalizes the notion of finite type in the original theory as well as consists many cases of infinite type in the sense of Range. Following the integral representation by Henkin, we also provide $$L^p$$ L p and “new” Hölder estimates for solutions of $$\bar{\partial }_b$$ ∂ ¯ b -equations on the boundaries of domains which emphasize the infinite type condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

# Tangential Cauchy–Riemann Equations on Pseudoconvex Boundaries of Finite and Infinite Type in $$\mathbb {C}^2$$ C 2

, Volume 72 (2) – Nov 30, 2016
20 pages

/lp/springer_journal/tangential-cauchy-riemann-equations-on-pseudoconvex-boundaries-of-zIs49mIZZH
Publisher
Springer International Publishing
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-016-0630-z
Publisher site
See Article on Publisher Site

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