On a Theorem of Bui, Paluszy\'nski, and Taibleson
Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 286-298.

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

@article{TRSPY_1999_227_a19,
     author = {V. S. Rychkov},
     title = {On a {Theorem} of {Bui,} {Paluszy\'nski,} and {Taibleson}},
     journal = {Informatics and Automation},
     pages = {286--298},
     publisher = {mathdoc},
     volume = {227},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a19/}
}
TY  - JOUR
AU  - V. S. Rychkov
TI  - On a Theorem of Bui, Paluszy\'nski, and Taibleson
JO  - Informatics and Automation
PY  - 1999
SP  - 286
EP  - 298
VL  - 227
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a19/
LA  - ru
ID  - TRSPY_1999_227_a19
ER  - 
%0 Journal Article
%A V. S. Rychkov
%T On a Theorem of Bui, Paluszy\'nski, and Taibleson
%J Informatics and Automation
%D 1999
%P 286-298
%V 227
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a19/
%G ru
%F TRSPY_1999_227_a19
V. S. Rychkov. On a Theorem of Bui, Paluszy\'nski, and Taibleson. Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 286-298. http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a19/

[1] Bui H.-Q., Paluszyński M., Taibleson M. H., “A maximal function characterization of weighted Besov–Lipschitz and Triebel–Lizorkin spaces”, Stud. math., 119:3 (1996), 219–246 | MR | Zbl

[2] Bui H.-Q., Paluszyński M., Taibleson M. H., “Characterization of the Besov–Lipschitz and Triebel–Lizorkin spaces. The case $q1$”, J. Fourier Anal. and Appl. Spec. Iss., 3 (1997), 837–846 | DOI | MR | Zbl

[3] Fefferman C., Stein E. M., “Some maximal inequalities”, Amer. J. Math., 93 (1971), 107–115 | DOI | MR | Zbl

[4] Fefferman C., Stein E. M., “$H^p$ spaces of several variables”, Acta math., 79 (1972), 137–193 | DOI | MR

[5] Frazier M., Jawerth B., “A discrete transform and decompositions of distribution spaces”, J. Funct. Anal., 93 (1990), 34–170 | DOI | MR | Zbl

[6] Marschall J., “Some remarks on Triebel spaces”, Stud. math., 87 (1987), 79–92 | MR | Zbl

[7] Peetre J., “On spaces of Triebel–Lizorkin type”, Ark. Mat., 13 (1975), 123–130 | DOI | MR | Zbl

[8] Peetre J., “Correction to the paper: J. Peetre, On spaces of Triebel–Lizorkin type”, Ark. Mat., 14, 299 | DOI | MR | Zbl

[9] Stein E. M., Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals, Princeton Univ. Press, Princeton, N.J., 1993 | MR | Zbl

[10] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl

[11] Strömberg J.-O., Torchinsky A., Weighted Hardy spaces, Lect. Notes Math., 1381, Springer-Verl., Berlin–New York, 1989 | MR | Zbl

[12] Tribel Kh., Teoriya funktsionalnykh prostranstv, Mir, M., 1986 | MR | Zbl

[13] Triebel H., “Characterizations of Besov–Hardy–Sobolev spaces: A unified approach”, J. Approx. Theory, 52 (1988), 162–203 | DOI | MR | Zbl

[14] Triebel H., Theory of function spaces, II, Monogr. Math., 84, Birkhäuser, Basel–Boston, 1992 | MR | Zbl