Cover Image

Korevaar-Schoen $p$-energy forms and associated $p$-energy measures on fractals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kajino, Naotaka, Shimizu, Ryosuke
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis Metric Geometry 28A80, 46E36, 39B62 (Primary) 31C25, 31C45, 31E05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Contraction properties and differentiability of $p$-energy forms with applications to nonlinear potential theory on self-similar sets
by: Kajino, Naotaka, et al.
Published: (2024)

$p$-Energy forms on fractals: recent progress
by: Kajino, Naotaka, et al.
Published: (2025)

Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces
by: Anttila, Riku, et al.
Published: (2025)

Construction of $p$-energy measures associated with strongly local $p$-energy forms
by: Sasaya, Kôhei
Published: (2025)

Construction of $p$-energy and associated energy measures on Sierpiński carpets
by: Shimizu, Ryosuke
Published: (2021)

Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces
by: Kumagai, Takashi, et al.
Published: (2024)

First-order Sobolev spaces, self-similar energies and energy measures on the Sierpiński carpet
by: Murugan, Mathav, et al.
Published: (2023)

Characterizations of Sobolev functions via Besov-type energy functionals in fractals
by: Shimizu, Ryosuke
Published: (2024)

Korevaar-Schoen $p$-energies and their $Γ$-limits on Cheeger spaces
by: Ruiz, Patricia Alonso, et al.
Published: (2024)

Oscillations of BV measures on nested fractals
by: Ruiz, Patricia Alonso, et al.
Published: (2022)

Poincaré inequalities and $A_p$ weights on bow-ties
by: Björn, Anders, et al.
Published: (2022)

Elliptic Harnack inequalities for mixed local and nonlocal $p$-energy form on metric measure spaces
by: Chen, Aobo, et al.
Published: (2025)

Sub-Gaussian heat kernel estimates for reflected diffusion on inner uniform domains
by: Anttila, Riku
Published: (2025)

Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces
by: Bhat, M. Ashraf, et al.
Published: (2024)

Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces
by: Kline, Josh, et al.
Published: (2023)

The normal contraction property for non-bilinear Dirichlet forms
by: Brigati, Giovanni, et al.
Published: (2022)

On the Dirichlet-to-Neumann Map for the $p$-Laplacian on a Metric Measure Space
by: Gibara, Ryan, et al.
Published: (2024)

Pointwise regularity and irregularity of energy densities on $N$-dimensional Sierpinski gaskets
by: Hino, Masanori, et al.
Published: (2026)

On singularity of $p$-energy measures on metric measure spaces
by: Yang, Meng
Published: (2025)

Energy inequalities for cutoff functions of $p$-energies on metric measures spaces
by: Yang, Meng
Published: (2025)

Condenser capacities and capacitary potentials for unbounded sets, and global $p$-harmonic Green functions on metric spaces
by: Björn, Anders, et al.
Published: (2023)

Non-quasicontinuous Newtonian functions and outer capacities based on Banach function spaces
by: Björn, Anders, et al.
Published: (2025)

Persistence of Rademacher-type and Sobolev-to-Lipschitz properties
by: Schiavo, Lorenzo Dello, et al.
Published: (2023)

Cutoff Sobolev inequalities for local and non-local $p$-energies on metric measure spaces
by: Yang, Meng
Published: (2026)

Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets
by: Cao, Shiping, et al.
Published: (2024)

An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces
by: Anttila, Riku
Published: (2025)

The growth of eigenfunction extrema on p.c.f. fractals
by: Qiu, Hua, et al.
Published: (2025)

On the dichotomy of $p$-walk dimensions on metric measure spaces
by: Yang, Meng
Published: (2025)

$p$-Poincaré inequalities and cutoff Sobolev inequalities on metric measure spaces
by: Yang, Meng
Published: (2025)

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry
by: Gibara, Ryan, et al.
Published: (2024)

Boundary regularity and Wiener-type criteria at infinity for nonlinear elliptic equations of $p$-Laplace type
by: Björn, Anders, et al.
Published: (2025)

Heat kernel estimates for boundary traces of reflected diffusions on uniform domains
by: Kajino, Naotaka, et al.
Published: (2023)

Preserving Besov (fractional Sobolev) energies under sphericalization and flattening
by: Björn, Anders, et al.
Published: (2024)

Limits at infinity for Hajłasz-Sobolev functions in metric spaces
by: Agarwal, Angha, et al.
Published: (2025)

Metric Sobolev spaces II: dual energies and divergence measures
by: Ambrosio, Luigi, et al.
Published: (2025)

BGD domains in p.c.f. self-similar sets II: spectral asymptotics for Laplacians
by: Gu, Qingsong, et al.
Published: (2025)

The Perron solution for elliptic equations without the maximum principle
by: Arendt, W., et al.
Published: (2023)

Harmonic mappings between singular metric spaces
by: Guo, Chang-Yu
Published: (2017)

Besov-Bergman spaces of $M$-harmonic functions
by: Blaschke, Petr, et al.
Published: (2025)

Kernels of trace operators via fine continuity
by: Hinz, Michael, et al.
Published: (2025)