Intrinsic characterizations of Besov spaces on Lipschitz domains

Mathematische Nachrichten

Volumn 260, Issue , 2003, Pages 21-33

  Dispa, Sophie ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242510921     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.200310101     Document Type: Article

References (15)

1. O. V. Besov, V. P. Il'in, and S. M. Nikol'skij, Integral Representations of Functions and Embedding Theorems (Nauka, Moskva, 1975).
2. O. V. Besov, L. D. Kudrjavcev, and P. I. Lizorkin, Studies on the theory of spaces of differentiable functions of several variables, Proc. Steklov Inst. Math. 182, 73-140 (1990).
3. H.-Q. Bui, M. Paluszynski, and M. H. Taibleson, A maximal function characterization of weighed Besov-Lipschitz and Triebel-Lizorkin spaces, Studia Math. 119, 219-246 (1996).
4. H.-Q. Bui, M. Paluszynski, and M. H. Taibleson, Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case q < 1, J. Fourier Appl. 3, 837-846 (1997) (special issue).
5. S. Dahlke and R. A. DeVore, Besov regularity for elliptic boundary value problems, Comm. Partial Differential Equations 22 (1997).
6. G. A. Kaljabin, A characterization of certain functions spaces by means of generalized differences, Dokl. Akad. Nauk SSSR 284, 1305-1308 (1985).
7. G. A. Kaljabin, Characterizations of spaces of Besov-Lizorkin-Triebel type by generalized differences, Trudy Mat. Inst. Steklov 181, 95-116 (1988).
8. G. A. Kaljabin and P. I. Lizorkin, Spaces of functions of generalized smoothness, Math.Nachr. 133, 7-32 (1987).
9. T. Muramuta, On imbedding theorems for Besov spaces of functions defined in general regions, Publ. Res. Inst. Math. Sci. Kyoto Univ. 7, 261-285 (1971-72).
10. S. M. Nikol'skij, Approximation of Functions of Several Variables and Imbedding Theorems (Springer-Verlag, Berlin, 1975).
11. V. Rychkov, On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains, J. London Math. Soc. 60 (2), 237-257 (1999).
12. E. M. Stein, Singular Integrals and Differentiability Properties of Functions (Princeton Univ. Press, 1970).
13. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, VEB Deutsch. Verl. Wissenschaften (North-Holland, Amsterdam, 1978).
14. H. Triebel, Theory of Function Spaces I (Birkhäuser Verlag, Basel, Boston, Stuttgart, 1983).
15. H. Triebel, Theory of Function Spaces II (Birkhüser Verlag, Basel, Boston, Stuttgart, 1992).