Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)
- Volume: 23, Issue: 3, page 575-608
- ISSN: 0391-173X
Access Full Article
topHow to cite
topCianchi, Andrea. "Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.3 (1996): 575-608. <http://eudml.org/doc/84241>.
@article{Cianchi1996,
author = {Cianchi, Andrea},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {optimal embedding problem; -function; Orlicz space; Orlicz-Sobolev space},
language = {eng},
number = {3},
pages = {575-608},
publisher = {Scuola normale superiore},
title = {Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems},
url = {http://eudml.org/doc/84241},
volume = {23},
year = {1996},
}
TY - JOUR
AU - Cianchi, Andrea
TI - Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 3
SP - 575
EP - 608
LA - eng
KW - optimal embedding problem; -function; Orlicz space; Orlicz-Sobolev space
UR - http://eudml.org/doc/84241
ER -
References
top- [Ad1] R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
- [Ad2] R.A. Adams, On the Orlicz-Sobolev imbedding theorem, J. Funct. Anal.24 (1977), 241-257. Zbl0344.46077MR430770
- [ALT] A. Alvino - P.L. Lions - G. Trombetti, On optimization problems with prescribed rearrangements, Nonlinear Anal.13 (1989), 185-220. Zbl0678.49003MR979040
- [Au] T. Aubin, Problèms isopérimetriques et espaces de Sobolev, J. Differential Geom.11 (1976), 573-598. Zbl0371.46011MR448404
- [B] A. BaernsteinII, A unified approach to symmetrization, in: "Partial Differential Equations of Elliptic Type" (A. Alvino, E. Fabes and G. Talenti, eds.), Symposia Mathematica35, Cambridge Univ. Press, Cambridge1994, 47-91. Zbl0830.35005MR1297773
- [BS] C. Bennett - R. Sharpley, Interpolation of operators, Pure and Appl. Math. Vol. 129, Academic Press, Boston, 1988. Zbl0647.46057MR928802
- [Be] E.I. Berezhnoi, Weighted inequalities of Hardy type in general ideal spaces, Soviet. Math. Dokl.43 (1991), 492-495. Zbl0770.46008MR1121581
- [Bo] D.W. Boyd, Indices for the Orlicz spaces, Pacific J. Math.38 (1971), 315-323. Zbl0227.46039MR306887
- [BZ] J.E. Brothers - W.P. Ziemer, Minimal rearrangements of Sobolev functions, J. Reine Angew Math.384 (1988), 153-179. Zbl0633.46030MR929981
- [C1] A. Cianchi, One relative isoperimetric inequalities in the plane, Boll. Un. Mat. Ital. A (7) 3-B (1989), 289-325. Zbl0674.49030MR997998
- [C2] A. Cianchi, A sharp form of Poincaré type inequalities on balls and spheres, Z. Angew. Math. Phys.40 (1989), 558-569. Zbl0707.53034MR1008923
- [CEG] A. Cianchi - D.E. Edmunds - P. Gurka, On weighted Poincaré inequalities, Math. Nachr.180 (1996), 15-41. Zbl0858.26009MR1397667
- [DT] T.K. Donaldson - N.S. Trudinger, Orlicz-Sobolev spaces and imbedding theorems, J. Funct. Anal.8 (1971), 52-75. Zbl0216.15702MR301500
- [EGO] D.E. Edmunds - P. Gurka - B. Opic, Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces, Indiana Univ. Math. J.45 (1995). Zbl0826.47021MR1336431
- [FLS] N. Fusco - P.L. Lions - C. Sbordone, Some remarks on Sobolev imbeddings in borderline cases, to appear in Proc. Amer. Math. Soc. MR1301025
- [G] S. Gallot, Inégalités isopérimétriques et analitiques sur les variétés riemanniennes, Asterisque n.163 (1988), 31-91. Zbl0674.53001MR999971
- [HMT] J.A. Hempel - G.R. Morris - N.S. Trudinger, On the sharpness of a limiting case of the Sobolev imbedding theorem, Bull. Austral. Math. Soc.3 (1970), 369-373. Zbl0205.12801MR280998
- [LT] J. Lindenstrauss - L. Tzafriri, Classical Banach spaces II, Springer-Verlag, Berlin, 1979. Zbl0403.46022MR540367
- [M] V.M. Maz'ja, Sobolev spaces, Springer-Verlag, Berlin, 1985. MR817985
- [O] , O'neill,Fractional integration in Orlicz spaces, Trans. Amer. Math. Soc.115 (1965), 300-328. Zbl0132.09201MR194881
- [P] S.I. Pohozhaev, On the imbedding Sobolev theorem for pl = n, Doklady conference, Section Math., Moscow Power Inst. (1965), 158-170.
- [RT] J.M. Rakotoson - R. Teman, A co-area formula with applications to monotone rearrangement and to regularity, Arch. Rat. Mech. Anal.109 (1990), 213-238. Zbl0735.49039MR1025171
- [Ta1] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl.110 (1976), 353-372. Zbl0353.46018MR463908
- [Ta2] G. Talenti, An embedding theorem, Essays of Math. Analysis in honour of E. De Giorgi, Birkhäuser Verlag, Boston, 1989. Zbl0702.46020MR1034035
- [Ta3] G. Talenti, Boundedness ofminimizers, Hokkaido Math. J.19 (1990), 259-279. Zbl0723.58015MR1059170
- [To] A. Torchinsky, Real variable methods in harmonic analysis, Academic Press, San Diego, 1986. Zbl0621.42001MR869816
- [Tr] N.S. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech.17 (1967), 473-483. Zbl0163.36402MR216286
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.