Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration

Hans-Gerd Leopold

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 3, page 633-644
  • ISSN: 0011-4642

Abstract

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The paper deals with embeddings of function spaces of variable order of differentiation in function spaces of variable order of integration. Here the function spaces of variable order of differentiation are defined by means of pseudodifferential operators.

How to cite

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Leopold, Hans-Gerd. "Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration." Czechoslovak Mathematical Journal 49.3 (1999): 633-644. <http://eudml.org/doc/30511>.

@article{Leopold1999,
abstract = {The paper deals with embeddings of function spaces of variable order of differentiation in function spaces of variable order of integration. Here the function spaces of variable order of differentiation are defined by means of pseudodifferential operators.},
author = {Leopold, Hans-Gerd},
journal = {Czechoslovak Mathematical Journal},
keywords = {function spaces embedding theorems; embedding theorems; function spaces; embedding theorems; pseudodifferential operators},
language = {eng},
number = {3},
pages = {633-644},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration},
url = {http://eudml.org/doc/30511},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Leopold, Hans-Gerd
TI - Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 633
EP - 644
AB - The paper deals with embeddings of function spaces of variable order of differentiation in function spaces of variable order of integration. Here the function spaces of variable order of differentiation are defined by means of pseudodifferential operators.
LA - eng
KW - function spaces embedding theorems; embedding theorems; function spaces; embedding theorems; pseudodifferential operators
UR - http://eudml.org/doc/30511
ER -

References

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  10. Differentiation and integration of variable order and the spaces L p ( x ) , Preprint, 1996. (1996) MR1486602
  11. On a topology of the space L p ( t ) ( [ 0 , 1 ] ) , Matem. Zametki 26 (1979), 613–632. (1979) MR0552723
  12. Pseudodifferential Operators, Princeton University Press, Princeton (New Jersey), 1981. (1981) Zbl0453.47026MR0618463
  13. Theory of Function Spaces, Birkhäuser, Basel, 1983. (1983) Zbl0546.46028MR0781540
  14. A generalization of the problem of the best approximation in the space L s , Uchen. Zap. Daghestan Gos. Univ 7 (1961), 25–37. (1961) 

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