Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.

Erika Tamási

Revista Matemática Complutense (2006)

  • Volume: 19, Issue: 2, page 297-321
  • ISSN: 1139-1138

Abstract

top
This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space,trΓ: Bpps,a (Rn) → Lp(Γ), s > 0, 1 < p < ∞,where Γ is an anisotropic d-set, 0 < d < n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in Bpps,a.

How to cite

top

Tamási, Erika. "Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.." Revista Matemática Complutense 19.2 (2006): 297-321. <http://eudml.org/doc/41904>.

@article{Tamási2006,
abstract = {This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space,trΓ: Bpps,a (Rn) → Lp(Γ), s &gt; 0, 1 &lt; p &lt; ∞,where Γ is an anisotropic d-set, 0 &lt; d &lt; n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in Bpps,a.},
author = {Tamási, Erika},
journal = {Revista Matemática Complutense},
keywords = {Espacios de funciones lineales; Espacios de Besov; Ondículas; Fractales; anisotropic function spaces; fractals; approximation numbers; traces},
language = {eng},
number = {2},
pages = {297-321},
title = {Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.},
url = {http://eudml.org/doc/41904},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Tamási, Erika
TI - Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 297
EP - 321
AB - This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space,trΓ: Bpps,a (Rn) → Lp(Γ), s &gt; 0, 1 &lt; p &lt; ∞,where Γ is an anisotropic d-set, 0 &lt; d &lt; n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in Bpps,a.
LA - eng
KW - Espacios de funciones lineales; Espacios de Besov; Ondículas; Fractales; anisotropic function spaces; fractals; approximation numbers; traces
UR - http://eudml.org/doc/41904
ER -

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.