Sobolev cohomology for locally polycylindrical domains

Sobolev cohomology for locally polycylindrical domains

The Cauchy-Riemann equation is solved with LP-Sobolev space estimates and the result is used to obtain vanishing theorems on locally polycylindrical domains.

Saved in:

Bibliographic Details
Main Author:	Patrick W. Darko
Format:	Article
Language:	English
Published:	Wiley 2002-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/S0161171202007366
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds
by: Patrick W. Darko
Published: (2002-01-01)

Cohomology with Lp-bounds on polycylinders
by: P. W. Darko, et al.
Published: (1995-01-01)

Bialgebra cohomology and exact sequences
by: Bichon, Julien
Published: (2024-11-01)

Sobolev regularity of the canonical solutions to $\bar{\partial }$ on product domains
by: Zhang, Yuan
Published: (2024-03-01)

Computational Tools for Cohomology of Toric Varieties
by: Ralph Blumenhagen, et al.
Published: (2011-01-01)

Cohomology of semi-invariant submanifolds of cosymplectic manifolds
by: Ramazan Sarı
Published: (2021-06-01)

Substitutions with Vanishing Rotationally Invariant First Cohomology
by: Juan García Escudero
Published: (2012-01-01)

Transfers for ramified covering maps in homology and cohomology
by: Marcelo A. Aguilar, et al.
Published: (2006-01-01)

Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field
by: Borovoi, Mikhail
Published: (2023-11-01)

A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation
by: Tian, Yisheng
Published: (2024-05-01)

Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension
by: L. Magnin
Published: (2008-01-01)

Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$
by: Aibèche, Aissa, et al.
Published: (2023-03-01)

Cohomology of the variational complex in the class of exterior forms of finite jet order
by: Gennadi Sardanashvily
Published: (2002-01-01)

Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci
by: Lê, Quy Thuong, et al.
Published: (2023-10-01)

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology
by: Balodi, Mamta, et al.
Published: (2023-03-01)

Compactly supported cohomology of a tower of graphs and generic representations of $\protect \mathrm{PGL}_{n}$ over a local field
by: Rajhi, Anis
Published: (2023-10-01)

A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
by: Rômulo Damasclin Chaves dos Santos, et al.
Published: (2024-01-01)

The sobolev embeddings are usually sharp
by: A. Fraysse, et al.
Published: (2005-01-01)

The Poisson equation in homogeneous Sobolev spaces
by: Tatiana Samrowski, et al.
Published: (2004-01-01)

Quantitative functional calculus in Sobolev spaces
by: Carlo Morosi, et al.
Published: (2004-01-01)

A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations
by: H. Mehravaran, et al.
Published: (2018-01-01)

The integral wavelet transform in weighted Sobolev spaces
by: Ta Ngoc Tri, et al.
Published: (2002-01-01)

Problem With Critical Sobolev Exponent and With Potential on SN
by: Walid Refai, et al.
Published: (2024-01-01)

Inner Functions in Lipschitz, Besov, and Sobolev Spaces
by: Daniel Girela, et al.
Published: (2011-01-01)

Fractional Sobolev Spaces via Riemann-Liouville Derivatives
by: Dariusz Idczak, et al.
Published: (2013-01-01)

Another extension of Orlicz-Sobolev spaces to metric spaces
by: Noureddine Aïssaoui
Published: (2004-01-01)

Higher Order Sobolev-Type Spaces on the Real Line
by: Bogdan Bojarski, et al.
Published: (2014-01-01)

Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
by: Teodora-Liliana Dinu
Published: (2006-01-01)

Trace theorems for Sobolev-Slobodeckij spaces with or without weights
by: Doyoon Kim
Published: (2007-01-01)

The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent
by: Yanbin Sang, et al.
Published: (2018-01-01)

Inverse Source Problem for Sobolev Equation with Fractional Laplacian
by: Nguyen Duc Phuong, et al.
Published: (2022-01-01)

On the critical behavior for a Sobolev-type inequality with Hardy potential
by: Jleli, Mohamed, et al.
Published: (2024-02-01)

A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class
by: H. Ibrahim
Published: (2012-01-01)

On a Class of Schrödinger System Problem in Orlicz–Sobolev Spaces
by: H. El-Houari, et al.
Published: (2022-01-01)

On the trace space of a Sobolev space with a radial weight
by: Helmut Abels, et al.
Published: (2008-01-01)

Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
by: Hong Rae Cho, et al.
Published: (2017-01-01)

On the Baire Generic Validity of the t-Multifractal Formalism in Besov and Sobolev Spaces
by: Moez Ben Abid, et al.
Published: (2019-01-01)

Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
by: Leszek Skrzypczak, et al.
Published: (2007-01-01)

On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
by: Mohammed El Mokhtar ould El Mokhtar
Published: (2022-01-01)

The approximation property of some vector valued Sobolev-Slobodeckij spaces
by: Carlos Bosch, et al.
Published: (1992-01-01)