Potential spaces on fractals
Studia Mathematica (2005)
- Volume: 170, Issue: 3, page 259-281
- ISSN: 0039-3223
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topJiaxin Hu, and Martina Zähle. "Potential spaces on fractals." Studia Mathematica 170.3 (2005): 259-281. <http://eudml.org/doc/285026>.
@article{JiaxinHu2005,
abstract = {We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.},
author = {Jiaxin Hu, Martina Zähle},
journal = {Studia Mathematica},
keywords = {Besov space; Bessel potential; Riez potential; heat kernel; fractal},
language = {eng},
number = {3},
pages = {259-281},
title = {Potential spaces on fractals},
url = {http://eudml.org/doc/285026},
volume = {170},
year = {2005},
}
TY - JOUR
AU - Jiaxin Hu
AU - Martina Zähle
TI - Potential spaces on fractals
JO - Studia Mathematica
PY - 2005
VL - 170
IS - 3
SP - 259
EP - 281
AB - We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.
LA - eng
KW - Besov space; Bessel potential; Riez potential; heat kernel; fractal
UR - http://eudml.org/doc/285026
ER -
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