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

top
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

top

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

top
  1. 10.1098/rspa.1992.0059, Proc. R. Soc. Lond. A 437 (1992), 229–236. (1992) MR1177754DOI10.1098/rspa.1992.0059
  2. A class of L p -bounded pseudodifferential operators, Proc. Amer. Mat. Soc. 51 (1975), 347–355. (1975) Zbl0279.47017MR0383153
  3. Pseudodifferential operators with variable order of differentiation generating Feller semigroups, Integral Equations and Operator Theory 17 (1994), 151–166. (1994) MR1243995
  4. Pseudodifferential operators and Sobolev spaces of variable order of differentiation, Rep. Fac. Liberal Arts, Shizuoka University, Sciences, 31 (1995), 19–27. (1995) 
  5. On spaces L p ( x ) and W k , p ( x ) , Czechoslovak Math. J. 41 (1991), 592–618. (1991) MR1134951
  6. Pseudo-Differential Operators, Massachusetts Institute of Technology Press, Cambridge (Massachusetts)-London, 1981. (1981) 
  7. 10.4171/ZAA/337, Z. Anal. Anw. 8 (1989), 69–82. (1989) Zbl0687.46019MR0997292DOI10.4171/ZAA/337
  8. 10.1515/form.1991.3.1, Forum Math. 3 (1991), 1–21. (1991) Zbl0737.46020MR1085592DOI10.1515/form.1991.3.1
  9. Stable-like processes; construction of the transition density and the behavior of sample paths near t = 0 , Osaka J. Math. 31 (1994), 189–214. (1994) Zbl0804.60074MR1262797
  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) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.