Geodesic
Sobolev--Poincar\'e-Type Inequality on Metric Spaces in Terms of Sharp-Maximal Functions
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 140-144.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: Sobolev–Poincaré inequality, maximal function, Sobolev class, Borel measure
Mots-clés : Hausdorff space, Lebesgue point. 
@article{MZM_2007_81_1_a11,
     author = {E. V. Ignat'eva},
     title = {Sobolev--Poincar\'e-Type {Inequality} on {Metric} {Spaces} in {Terms} of {Sharp-Maximal} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {140--144},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a11/}
}
TY  - JOUR
AU  - E. V. Ignat'eva
TI  - Sobolev--Poincar\'e-Type Inequality on Metric Spaces in Terms of Sharp-Maximal Functions
JO  - Matematičeskie zametki
PY  - 2007
SP  - 140
EP  - 144
VL  - 81
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a11/
LA  - ru
ID  - MZM_2007_81_1_a11
ER  - 
%0 Journal Article
%A E. V. Ignat'eva
%T Sobolev--Poincar\'e-Type Inequality on Metric Spaces in Terms of Sharp-Maximal Functions
%J Matematičeskie zametki
%D 2007
%P 140-144
%V 81
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a11/
%G ru
%F MZM_2007_81_1_a11
E. V. Ignat'eva. Sobolev--Poincar\'e-Type Inequality on Metric Spaces in Terms of Sharp-Maximal Functions. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 140-144. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a11/

[1] R. R. Coifman, G. Weiss, Bull. Amer. Math. Soc., 83:4 (1977), 569–645 | DOI | MR | Zbl

[2] J. Dorronsoro, Trans. Amer. Math. Soc., 297:2 (1986), 669–685 | DOI | MR | Zbl

[3] P. Cifuentes, J. Dorronsoro, J. Sueiro, Trans. Amer. Math. Soc., 332:1 (1992), 331–350 | DOI | MR | Zbl

[4] I. A. Ivanishko, V. G. Krotov, Tr. In-ta matem. NAN Belarusi, 14:1 (2005)

[5] A. P. Calderon, Studia Math., 44 (1972), 563–582 | MR | Zbl

[6] A. P. Calderon, R. Scott, Studia Math., 62 (1978), 75–92 | MR | Zbl

[7] R. DeVore, R. Sharpley, Mem. Amer. Math. Soc., 47, no. 293, 1984 | MR | Zbl

[8] P. Hajłasz, P. Koskela, Mem. Amer. Math. Soc., 145, no. 688, 2000 | MR | Zbl

[9] Y. Liu, G. Lu, R. L. Wheeden, Ann. Math., 323:1 (2002), 157–174 | DOI | MR | Zbl