Anisotropic function spaces: Hardy's inequality and traces on surfaces

Mircea Malarski; Hans Triebel

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 3, page 518-537
  • ISSN: 0011-4642

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Malarski, Mircea, and Triebel, Hans. "Anisotropic function spaces: Hardy's inequality and traces on surfaces." Czechoslovak Mathematical Journal 41.3 (1991): 518-537. <http://eudml.org/doc/13950>.

@article{Malarski1991,
author = {Malarski, Mircea, Triebel, Hans},
journal = {Czechoslovak Mathematical Journal},
keywords = {anisotropic Sobolev space; traces of functions; anisotropic Besov spaces; cylindrical and spherical surfaces; anisotropic Hardy inequalities},
language = {eng},
number = {3},
pages = {518-537},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Anisotropic function spaces: Hardy's inequality and traces on surfaces},
url = {http://eudml.org/doc/13950},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Malarski, Mircea
AU - Triebel, Hans
TI - Anisotropic function spaces: Hardy's inequality and traces on surfaces
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 3
SP - 518
EP - 537
LA - eng
KW - anisotropic Sobolev space; traces of functions; anisotropic Besov spaces; cylindrical and spherical surfaces; anisotropic Hardy inequalities
UR - http://eudml.org/doc/13950
ER -

References

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  1. Besov O. V., Iľin I. P., Nikoľskij S. M., Integral representations of functions and embedding theorems, (Russian). Moscow: Nauka 1975 [English edition: Scripta Series in Mathematics, Washington: Halsted Press; New York-Toronto-London: V. H. Winston & Sons 1978/1979]. (1975) MR0430771
  2. Nikoľskij S. M., Approximation of functions of several variables and embedding theorems. Second edition, (Russian). Moscow: Nauka 1977 [English translation of the first edition: Berlin-Heidelberg-New York: Springer-Verlag 1975]. (1977) MR0374877
  3. Schmeisser H.-J., Triebel H., Topics in Fourier analysis nad function spaces, Leipzig: Akad. Verlagsgesellschaft Geest & Portig 1987 and Chichester: Wiley 1987. (1987) 
  4. Triebel H., Interpolation Theory, Function spaces, Differential Operators, North-Holland Publ. Comp., Amsterdam-New York-Oxford: 1978. (1978) Zbl0387.46033MR0503903
  5. Triebel H., 10.1007/BF02115872, Anal. Math. 10 (1984), 53-77, 79-96. (1984) Zbl0556.46018DOI10.1007/BF02115872
  6. Triebel H., 10.1080/03605308308820318, Comm. Partial Differential Equations 8 (1983), 1621-1664. (1983) Zbl0548.35052MR0729196DOI10.1080/03605308308820318
  7. Uspenskij S. V., On embedding theorems for functions in domains I, (Russian), Sibirsk. Math. Ž. 7 (1966), 650-663. (1966) 
  8. Uspenskij S. V., On traces of functions of the Sobolev class W p 1 1 ... 1 n on smooth surfaces, (Russian). Sibirsk. Math. Ž. 13 (1972), 429-451. (1972) Zbl0247.46050MR0312252
  9. Uspenskij S. V., Demidenko G. V., Perepelkin V. G., Embedding theorems and applications to differential equations, (Russian). Novosibirsk: Nauka, 1984. (1984) Zbl0575.46030

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