Sobolev spaces on p.c.f. self-similar sets I: Critical orders and atomic decompositions-Reference-Cited by-同舟云学术

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Sobolev spaces on p.c.f. self-similar sets I: Critical orders and atomic decompositions

Published:2022-02 Issue:4 Volume:282 Page:109331
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Cao Shiping^ORCID,Qiu Hua^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Publisher

Elsevier BV

Subject

Analysis

Reference39 articles.

1. Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities;Alonso-Ruiz;J. Funct. Anal.,2020

2. Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates;Alonso-Ruiz;Calc. Var. Partial Differ. Equ.,2020

3. Theory of Bessel potentials, I;Aronszajn;Ann. Inst. Fourier (Grenoble),1961

4. Diffusions on fractals;Barlow,1998

5. Interpolation Spaces. An Introduction;Bergh,1976

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Korevaar–Schoen–Sobolev spaces and critical exponents in metric measure spaces;Annales Fennici Mathematici;2024-08-26

2. Equivalence of Besov spaces on p.c.f. self-similar sets;Canadian Journal of Mathematics;2023-05-26

3. Sobolev spaces on p.c.f. self-similar sets II: Boundary behavior and interpolation theorems;Forum Mathematicum;2022-03-01

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