Journal article
Maximal L 2 and Pointwise Hölder Estimates for □ b on CR Manifolds of Class C 2
Communications in partial differential equations, Vol.33(9), pp.1690-1710
08/13/2008
DOI: 10.1080/03605300802224730
Abstract
In this paper we prove the optimal pointwise Hölder estimates for the Kohn's Laplacian □
b
for CR manifolds of class C
2
. We first derive optimal L
2
theory for solutions of □
b
directly without using pseudo-differential operators. Then we use the scaling method to obtain pointwise estimates in non-istotropic Campanato spaces based on the maximal L
2
theory.
Details
- Title: Subtitle
- Maximal L 2 and Pointwise Hölder Estimates for □ b on CR Manifolds of Class C 2
- Creators
- Mei-Chi Shaw - Department of Mathematics , University of Notre DameLihe Wang - Xian Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Communications in partial differential equations, Vol.33(9), pp.1690-1710
- Publisher
- Taylor & Francis Group
- DOI
- 10.1080/03605300802224730
- ISSN
- 0360-5302
- eISSN
- 1532-4133
- Language
- English
- Date published
- 08/13/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984083227202771
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