Some embeddings and equivalent norms of the $\mathcal{L}_{p,q}^{\lambdas}$ spaces
Douadi Drihem
Source: Funct. Approx. Comment. Math. Volume 41, Number 1
(2009), 15-40.
Abstract
The aim of this paper is to give some properties for\ the $\mathcal{L}_{p,q}^{\lambda,s}$ spaces, especially concerning embeddings and equivalent norms based of maximal functions and local means.
First Page:
Show
Hide
Primary Subjects:
46E35
Keywords: Besov spaces; Campanato spaces; Triebel-Lizorkin spaces; $\mathcal{L}_{p,q}^{\lambda ,s}$ spaces; local means; maximal functions
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.facm/1254330157
Mathematical Reviews number (MathSciNet): MR2568794
Digital Object Identifier: doi:10.7169/facm/1254330157
References
G. Bourdaud, Analyse fonctionnelle dans l'espace Euclidien, Publ. Math. Univ. Paris. VII, 23, 1987.
H.Q. Bui, M. Paluszyński, M. Taibleson, A maximal characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces, Studia. Math. 119 (1996), 219--246.
Mathematical Reviews (MathSciNet): MR1397492
Zentralblatt MATH: 0861.42009
H.Q. Bui, M. Paluszyński, M. Taibleson, Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case $q<1$, J. Fourier. Anal. Appl. 3, special issue (1997), 837--846.
Mathematical Reviews (MathSciNet): MR1600199
Zentralblatt MATH: 0897.42010
Digital Object Identifier: doi:10.1007/BF02656489
S. Campanato, Proprietà di Hölderianità di alcune classi di funzioni, Ann. Scuola Norm. Sup. Pisa. 17 (1963), 175--188.
Mathematical Reviews (MathSciNet): MR156188
S. Campanato, Proprietà di una famiglia di spazi funzionali, Ann. Scuola. Norm. Sup. Pisa. 18 (1964), 137--160.
Mathematical Reviews (MathSciNet): MR167862
A. El Baraka, An embedding theorem for Campanato spaces, Electron. J. Diff. Eqns. 66 (2002), 1--17.
Mathematical Reviews (MathSciNet): MR1921139
Zentralblatt MATH: 1002.46024
A. El Baraka, Littlewood-Paley characterization for Campanato spaces, J. Funct. Spaces. Appl. 4(2) (2006), 193--220.
Mathematical Reviews (MathSciNet): MR2227045
Zentralblatt MATH: 1133.42031
M. Frazier, B. Jawerth, G. Weiss, % Littlewood-Paley theory and the study of function spaces, CBMS Regional Conference Series in Mathematics 79, Amer. Math. Soc. Providence, RI, 1991.
Mathematical Reviews (MathSciNet): MR1107300
Zentralblatt MATH: 0757.42006
V.S. Rychkov, On a theorem of Bui, Paluszyński, and Taibleson, Proc. Steklov. Inst. Math. 227 (1999), 280--292.
Mathematical Reviews (MathSciNet): MR1784322
W. Sickel and H. Triebel, Hölder inequalities and sharp embeddings in function spaces of $B_p,q^s$ and $F_p,q^s$ type, Z. Anal. Anwendungen. 14(1), (1995), 105--140.
Mathematical Reviews (MathSciNet): MR1327495
E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, NJ, 1971.
Mathematical Reviews (MathSciNet): MR304972
Zentralblatt MATH: 0232.42007
J.-O. Strömberg and A. Torchinsky, Weighted Hardy spaces, Lecture Notes in Math. 1381, Springer, Berlin, 1989.
Mathematical Reviews (MathSciNet): MR1011673
H. Triebel, Theory of function spaces, Birkhäuser, Basel, 1983.
Mathematical Reviews (MathSciNet): MR781540
H. Triebel, Theory of function spaces II, Birkhäuser, Basel, 1992.
Mathematical Reviews (MathSciNet): MR1163193
Zentralblatt MATH: 0763.46025
H. Triebel, Theory of Function Spaces III, Birkhäuser, Basel, 2006.
Mathematical Reviews (MathSciNet): MR2250142
Zentralblatt MATH: 1104.46001
Functiones et Approximatio Commentarii Mathematici
