A maximal function approach to two-measure Poincaré inequalities
DOI10.1007/S12220-018-0061-ZzbMath1419.31007arXiv1801.06978OpenAlexW2963080569WikidataQ109744300 ScholiaQ109744300MaRDI QIDQ2421242
Antti V. Vähäkangas, Juha Lehrbäck, Riikka Korte, Juha Kinnunen
Publication date: 14 June 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06978
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Potential theory on fractals and metric spaces (31E05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear potential theory on metric spaces
- Weighted Hardy spaces
- Hölder quasicontinuity of Sobolev functions on metric spaces
- Differentiability of Lipschitz functions on metric measure spaces
- Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
- Modulus and the Poincaré inequality on metric measure spaces
- Lectures on analysis on metric spaces
- Maximal function estimates and self-improvement results for Poincaré inequalities
- A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces
- Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
- The Poincaré inequality is an open ended condition
- The $p$-weak gradient depends on $p$
- Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
- LPEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
- Alternative proof of Keith–Zhong self-improvement and connectivity
- Poincare Inequalities and Neumann Problems for the p-Laplacian
- Sobolev Spaces on Metric Measure Spaces
- A new characterization of the Muckenhoupt $A_p$ weights through an extension of the Lorentz-Shimogaki Theorem
This page was built for publication: A maximal function approach to two-measure Poincaré inequalities