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

Loading next page...
 
/lp/springer_journal/tangential-cauchy-riemann-equations-on-pseudoconvex-boundaries-of-zIs49mIZZH
Publisher
Springer International Publishing
Copyright
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

Abstract

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.

Journal

Results in MathematicsSpringer Journals

Published: Nov 30, 2016

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off