On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel-Reference-Cited by-同舟云学术

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On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel

Published:2017-08 Issue:1 Volume:452 Page:685-707
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Wang Wei

Funder

National Nature Science Foundation in China

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Quaternionic complexes;Baston;J. Geom. Phys.,1992

2. Complexes of invariant differential operators in several quaternionic variables;Bureš;Complex Var. Elliptic Equ.,2006

3. Explicit resolutions for several Fueter operators;Bureš;J. Geom. Phys.,2007

4. On the Hodge-type decomposition and cohomolgy groups of k-Cauchy–Fueter complexes over domains in the quaternionic space;Chang;J. Geom. Phys.,2016

5. Partial Differential Equations in Several Complex Variables;Chen,2001

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method;Complex Analysis and Operator Theory;2022-03-25

2. The tangential k-Cauchy–Fueter complexes and Hartogs’ phenomenon over the right quaternionic Heisenberg group;Annali di Matematica Pura ed Applicata (1923 -);2019-08-26

3. On quaternionic complexes over unimodular quaternionic manifolds;Differential Geometry and its Applications;2018-06

4. The Neumann Problem for the k-Cauchy–Fueter Complex over k-Pseudoconvex Domains in $$\mathbb {R}^4$$ R 4 and the $$L^2$$ L 2 Estimate;The Journal of Geometric Analysis;2018-05-18

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