An Embedding into an Orlicz Space for Irregular John Domains

[1]  P. Harjulehto,et al.  On the $(1,p)$-Poincaré inequality , 2012 .

[2]  Vladimir Maz’ya,et al.  Sobolev Spaces: with Applications to Elliptic Partial Differential Equations , 2011 .

[3]  R. Wheeden,et al.  Self-improving properties of inequalities of Poincaré type on measure spaces and applications , 2008 .

[4]  B. V. Trushin Embedding of Sobolev space in Orlicz space for a domain with irregular boundary , 2006 .

[5]  Tomi Nieminen GENERALIZED MEAN POROSITY AND DIMENSION , 2006 .

[6]  P. Koskela,et al.  Quasihyperbolic boundary conditions and Poincaré domains , 2002 .

[7]  D. Edmunds,et al.  Sobolev inequalities of exponential type , 2001 .

[8]  T. Kilpeläinen,et al.  Sobolev Inequalities on Sets with Irregular Boundaries , 2000 .

[9]  Pekka Koskela,et al.  Sobolev met Poincaré , 2000 .

[10]  Vladimir Maz’ya,et al.  Differentiable Functions on Bad Domains , 1998 .

[11]  P. Bassanini,et al.  Elliptic Partial Differential Equations of Second Order , 1997 .

[12]  P. Lions,et al.  Sobolev imbedding theorems in borderline cases , 1996 .

[13]  Pertti Mattila,et al.  Geometry of sets and measures in Euclidean spaces , 1995 .

[14]  D. Stegenga,et al.  Hölder domains and Poincaré domains , 1990 .

[15]  O. Martio,et al.  Lipschitz classes and quasiconformla mappings , 1985 .

[16]  G. Martin QUASICONFORMAL AND BI-LIPSCHITZ HOMEOMORPHISMS, UNIFORM DOMAINS AND THE QUASIHYPERBOLIC METRIC , 1985 .

[17]  Yu. G. Reshetnyak Integral representations of differentiable functions in domains with nonsmooth boundary , 1980 .

[18]  F. Gehring,et al.  Uniform domains and the quasi-hyperbolic metric , 1979 .

[19]  J. Sarvas,et al.  Injectivity theorems in plane and space , 1979 .

[20]  F. Gehring,et al.  Quasiconformally homogeneous domains , 1976 .

[21]  J. Cooper SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .

[22]  L. Hedberg On certain convolution inequalities , 1972 .

[23]  Neil S. Trudinger,et al.  On Imbeddings into Orlicz Spaces and Some Applications , 1967 .