Access the full text.
Sign up today, get DeepDyve free for 14 days.
P. Bassanini, A. Elcrat (1997)
Elliptic Partial Differential Equations of Second Order
F. Gehring, B. Palka (1976)
Quasiconformally homogeneous domainsJournal d’Analyse Mathématique, 30
Petteri Harjulehto, R. Hurri-Syrjänen, Antti Vähäkangas (2012)
On the $(1,p)$-Poincaré inequalityIllinois Journal of Mathematics, 56
(1961)
On some estimates connected with integral operators and with solutions of elliptic equations (Russian)
P. Hajłasz, P. Koskela (2000)
Sobolev met Poincaré
P. Koskela, Jani Onninen, J. Tyson (2002)
Quasihyperbolic boundary conditions and Poincaré domainsMathematische Annalen, 323
T. Kilpeläinen, J. Malý (2000)
Sobolev Inequalities on Sets with Irregular BoundariesZeitschrift Fur Analysis Und Ihre Anwendungen, 19
(1988)
Poincaré domains in Rn
S. Chua, R. Wheeden (2008)
Self-improving properties of inequalities of Poincaré type on measure spaces and applicationsJournal of Functional Analysis, 255
FW Gehring, BP Palka (1976)
Quasiconformally homogeneous domainsJ. Anal. Math., 30
B. Trushin (2006)
Embedding of Sobolev space in Orlicz space for a domain with irregular boundaryMathematical Notes, 79
(2003)
Sobolev Spaces Second edition
N. Fusco, P. Lions, C. Sbordone (1996)
Sobolev imbedding theorems in borderline cases, 124
F. Gehring, O. Martio (1985)
Lipschitz classes and quasiconformla mappings, 10
T Kilpeläinen, J Maly (2000)
Sobolev inequalities on sets with irregular boundariesZ. Anal. Angew., 19
G. Martin (1985)
QUASICONFORMAL AND BI-LIPSCHITZ HOMEOMORPHISMS, UNIFORM DOMAINS AND THE QUASIHYPERBOLIC METRICTransactions of the American Mathematical Society, 292
David Edmunds, R. Hurri-Syrjänen (2001)
Sobolev inequalities of exponential typeIsrael Journal of Mathematics, 123
Yu. Reshetnyak (1980)
Integral representations of differentiable functions in domains with nonsmooth boundarySiberian Mathematical Journal, 21
(1991)
Theory of Orlicz spaces, Monographs and Textbooks in Pure and Applied Mathematics, 146
(1982)
L p-Estimates for Very Strongly Elliptic Systems
J. Cooper (1973)
SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONSBulletin of The London Mathematical Society, 5
O. Martio, J. Sarvas (1979)
Injectivity theorems in plane and space, 4
NS Trudinger (1967)
On imbeddings into Orlicz spaces and some applicationsJ. Math. Mech., 17
Tomi Nieminen (2006)
GENERALIZED MEAN POROSITY AND DIMENSION, 31
V. Maz'ya (2011)
Sobolev Spaces: with Applications to Elliptic Partial Differential Equations
P. Mattila (1995)
Geometry of sets and measures in Euclidean spaces
V. Maz'ya, S. Poborchi (1998)
Differentiable Functions on Bad Domains
(1989)
Remarks on Sobolev imbeddings inequalities
FW Gehring, BG Osgood (1979)
Uniform domains and quasi-hyperbolic metricJ. Anal. Math., 36
N. Trudinger (1967)
On Imbeddings into Orlicz Spaces and Some ApplicationsIndiana University Mathematics Journal, 17
L. Hedberg (1972)
On certain convolution inequalities, 36
W. Smith, D. Stegenga (1990)
Hölder domains and Poincaré domainsTransactions of the American Mathematical Society, 319
(1965)
On the imbedding Sobolev theorem for pl = n
F. Gehring, B. Osgood (1979)
Uniform domains and the quasi-hyperbolic metricJournal d’Analyse Mathématique, 36
We prove an embedding into an Orlicz space for irregular John domains when the irregularity is controlled by a logarithmic type function. By constructing an example we show that the embedding is essentially sharp.
Computational Methods and Function Theory – Springer Journals
Published: Mar 6, 2014
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.