Happy fractals and some aspects of analysis on metric spaces.

Semmes, Stephen. "Happy fractals and some aspects of analysis on metric spaces.." Publicacions Matemàtiques 47.2 (2003): 261-309. <http://eudml.org/doc/41473>.

@article{Semmes2003,
abstract = {There has been a lot of interest and activity along the general lines of analysis on metric spaces recently, as in [2], [3], [26], [40], [41], [46], [48], [49], [51], [82], [83], [89], for instance. Of course this is closely related to and involves ideas concerning spaces of homogeneous type, as in [18], [19], [66], [67], [92], as well as sub-Riemannian spaces, e.g., [8], [9], [34], [47], [52], [53], [54], [55], [68], [70], [72], [73], [84], [86], [88]. In the present survey we try to give an introduction to some themes in this general area, with selections related to several points of view. Let us also mention [39], [93], [97], [98], [99] for topics dealing with nonstandard analysis, where one might think of a continuous metric space as something like a nonstandard graph.},
author = {Semmes, Stephen},
journal = {Publicacions Matemàtiques},
keywords = {Análisis de Fourier; Grafos; Fractales; Función lipschitziana; Espacios métricos; graphs; happy fractals; Lipschitz classes; Calderón-Zygmund decomposition},
language = {eng},
number = {2},
pages = {261-309},
title = {Happy fractals and some aspects of analysis on metric spaces.},
url = {http://eudml.org/doc/41473},
volume = {47},
year = {2003},
}

TY - JOUR
AU - Semmes, Stephen
TI - Happy fractals and some aspects of analysis on metric spaces.
JO - Publicacions Matemàtiques
PY - 2003
VL - 47
IS - 2
SP - 261
EP - 309
AB - There has been a lot of interest and activity along the general lines of analysis on metric spaces recently, as in [2], [3], [26], [40], [41], [46], [48], [49], [51], [82], [83], [89], for instance. Of course this is closely related to and involves ideas concerning spaces of homogeneous type, as in [18], [19], [66], [67], [92], as well as sub-Riemannian spaces, e.g., [8], [9], [34], [47], [52], [53], [54], [55], [68], [70], [72], [73], [84], [86], [88]. In the present survey we try to give an introduction to some themes in this general area, with selections related to several points of view. Let us also mention [39], [93], [97], [98], [99] for topics dealing with nonstandard analysis, where one might think of a continuous metric space as something like a nonstandard graph.
LA - eng
KW - Análisis de Fourier; Grafos; Fractales; Función lipschitziana; Espacios métricos; graphs; happy fractals; Lipschitz classes; Calderón-Zygmund decomposition
UR - http://eudml.org/doc/41473
ER -