Happy fractals and some aspects of analysis on metric spaces.

Stephen Semmes

Publicacions Matemàtiques (2003)

  • Volume: 47, Issue: 2, page 261-309
  • ISSN: 0214-1493

Abstract

top
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.

How to cite

top

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 -

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.