Function spaces on fractals
By Robert S. Strichartz. 2003
130 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/75e026c47de071a0a25177ae7b28e75adc1bbd80
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Dorin Ervin Dutkay
- Palle E. T. Jorgensen
- Dachun Yang
- Robert S. Strichartz
- Nageswari Shanmugalingam
- Alexander Teplyaev
- Fabrice Baudoin
- Jian-Lin Li
In Mathematical Physics
- Dorin Ervin Dutkay
- Palle E. T. Jorgensen
- Dachun Yang
- Robert S. Strichartz
- Alexander Teplyaev
- Nageswari Shanmugalingam
- Jian-Lin Li
- Patricia Alonso-Ruiz
Citations in the corpus
- p-Energy and p-Harmonic Functions on Sierpinski Gasket Type Fractals (2004, background): “It would be interesting to know if dom Ep can be identified with any of the Sobolev spaces discussed in [ 9 ].”
- New characterizations of Hajłasz-Sobolev spaces on metric spaces (2003, background): “[ 20 ] obtained some results similar to Corollary 1.4(iii) for his Sobolev spaces with more restrictions than s>d /pon the smoothness index s (see Theorem 3.13 in ref.”
- Plancherel Type Estimates and Sharp Spectral Multipliers (2002, unknown): “and m = d + 1 = log 5/(log 5 − log 3) (see [5, 58]).”
- Sobolev Spaces on Non-Lipschitz Subsets of Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^n$$\end{doc (2016, unknown): “Of course there already exists a substantial literature relating to function spaces on rough subsets of R n (see e.g. [1,7,30,36,37,54,56,57]).”
- Wavelets on Fractals (2003, background): “There is already a considerable body of work on harmonic analysis on fractals, see for example [22], [11], [10], [23], and [16].”
- Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates (2018, background): “On the other hand, the theory of Dirichlet forms is well-developed in many such spaces, see for example [25,53,59,60,62, 65, 66, 79, 81, 85–87], which is far from an exhaustive list of the literature.”