Access the full text.
Sign up today, get DeepDyve free for 14 days.
P. Koskela (1999)
Removable sets for Sobolev spacesArkiv för Matematik, 37
R. Kaufman, J. Wu (1996)
On removable sets for quasiconformal mappingsArkiv för Matematik, 34
Toshihide Futamura, Y. Mizuta (2003)
Tangential limits and removable sets for weighted Sobolev spacesHiroshima Mathematical Journal, 33
(2004)
Orlicz-Sobolev spaces on metric measure spaces
J. Heinonen, T. Kilpeläinen, O. Martio (1993)
Nonlinear Potential Theory of Degenerate Elliptic Equations
R. Hurri (1990)
The weighted Poincaré inequalities.Mathematica Scandinavica, 67
J. Wu (1998)
Removability of sets for quasiconformal mappings and sobolev spaces, 37
W. Ziemer (1989)
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
Peter Jones, S. Smirnov (2000)
Removability theorems for Sobolev functions and quasiconformal mapsArkiv för Matematik, 38
Yu. Reshetnyak (1967)
Space mappings with bounded distortionSiberian Mathematical Journal, 8
W. Wang, Z. Zheng, Jiong Sun (2003)
Weighted poincaré inequalities on one-dimensional unbounded domainsAppl. Math. Lett., 16
M. Rao, Z. Ren (1991)
Theory of Orlicz spaces
Nijjwal Karak (2014)
Removable Sets for Orlicz-Sobolev SpacesPotential Analysis, 43
L. Pick, A. Kufner, O. John, S. Fučík (2012)
Function Spaces: Volume 1
P. Jones (1991)
On removable sets for Sobolev spaces in the planearXiv: Dynamical Systems
J. Väisälä (1971)
Lectures on n-Dimensional Quasiconformal Mappings
T. O’Neil (2002)
Geometric Measure Theory
J. Heinonen, P. Koskela (1998)
Quasiconformal maps in metric spaces with controlled geometryActa Mathematica, 181
W. Ziemer (1989)
Weakly differentiable functions
L. Ahlfors, A. Beurling (1950)
Conformal invariants and function-theoretic null-setsActa Mathematica, 83
T. Horiuchi (1989)
The imbedding theorems for weighted Sobolev spacesJournal of Mathematics of Kyoto University, 29
Dimitrios Ntalampekos (2017)
A removability theorem for Sobolev functions and detour setsMathematische Zeitschrift, 296
S. Keith, X. Zhong (2008)
The Poincare inequality is an open ended conditionAnnals of Mathematics, 167
P. Koskela, T. Rajala, Y. Zhang (2016)
A density problem for Sobolev spaces on Gromov hyperbolic domainsarXiv: Functional Analysis
In this paper, we provide a concrete criterion for sets lying in a hyperplane to be removable for weighted Orlicz–Sobolev spaces. We define porous sets and show that the porous sets lying in a hyperplane are removable; this is a generalization of the results in Karak (Potential Anal 43(4):675–694, 2015), Futamura and Mizuta (Hiroshima Math J 33:43–57, 2003).
Computational Methods and Function Theory – Springer Journals
Published: Jul 20, 2019
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.