Characterizations of Sobolev functions via Besov-type energy functionals in fractals
Fuente:
arXiv
Saved in:
| Main Author: | Shimizu, Ryosuke |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces
by: Kumagai, Takashi, et al.
Published: (2024)
by: Kumagai, Takashi, et al.
Published: (2024)
Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces
by: Anttila, Riku, et al.
Published: (2025)
by: Anttila, Riku, et al.
Published: (2025)
Korevaar-Schoen $p$-energy forms and associated $p$-energy measures on fractals
by: Kajino, Naotaka, et al.
Published: (2024)
by: Kajino, Naotaka, 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)
by: Murugan, Mathav, et al.
Published: (2023)
$p$-Energy forms on fractals: recent progress
by: Kajino, Naotaka, et al.
Published: (2025)
by: Kajino, Naotaka, et al.
Published: (2025)
Construction of $p$-energy measures associated with strongly local $p$-energy forms
by: Sasaya, Kôhei
Published: (2025)
by: Sasaya, Kôhei
Published: (2025)
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)
by: Kajino, Naotaka, et al.
Published: (2024)
Preserving Besov (fractional Sobolev) energies under sphericalization and flattening
by: Björn, Anders, et al.
Published: (2024)
by: Björn, Anders, et al.
Published: (2024)
Construction of $p$-energy and associated energy measures on Sierpiński carpets
by: Shimizu, Ryosuke
Published: (2021)
by: Shimizu, Ryosuke
Published: (2021)
Besov-Bergman spaces of $M$-harmonic functions
by: Blaschke, Petr, et al.
Published: (2025)
by: Blaschke, Petr, et al.
Published: (2025)
Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces
by: Bhat, M. Ashraf, et al.
Published: (2024)
by: Bhat, M. Ashraf, et al.
Published: (2024)
Multipoint Characterization of Higher-Order Sobolev Spaces
by: Kurowski, Kacper
Published: (2026)
by: Kurowski, Kacper
Published: (2026)
Non-quasicontinuous Newtonian functions and outer capacities based on Banach function spaces
by: Björn, Anders, et al.
Published: (2025)
by: Björn, Anders, et al.
Published: (2025)
The growth of eigenfunction extrema on p.c.f. fractals
by: Qiu, Hua, et al.
Published: (2025)
by: Qiu, Hua, et al.
Published: (2025)
Besov-Lipschitz norm and $p$-energy measure on scale-irregular Vicsek sets
by: Chen, Aobo, et al.
Published: (2024)
by: Chen, Aobo, et al.
Published: (2024)
On Removable Sets for Weighted Sobolev Functions
by: Esmayli, Behnam, et al.
Published: (2025)
by: Esmayli, Behnam, et al.
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)
by: Gibara, Ryan, et al.
Published: (2024)
BGD domains in p.c.f. self-similar sets I: boundary value problems for harmonic functions
by: Gu, Qingsong, et al.
Published: (2024)
by: Gu, Qingsong, et al.
Published: (2024)
Pointwise regularity and irregularity of energy densities on $N$-dimensional Sierpinski gaskets
by: Hino, Masanori, et al.
Published: (2026)
by: Hino, Masanori, et al.
Published: (2026)
Energy inequalities for cutoff functions of $p$-energies on metric measures spaces
by: Yang, Meng
Published: (2025)
by: Yang, Meng
Published: (2025)
BGD domains in p.c.f. self-similar sets II: spectral asymptotics for Laplacians
by: Gu, Qingsong, et al.
Published: (2025)
by: Gu, Qingsong, et al.
Published: (2025)
Characterizations of Sobolev and BV functions on Carnot groups
by: Cassano, Francesco Serra, et al.
Published: (2026)
by: Cassano, Francesco Serra, et al.
Published: (2026)
Cutoff Sobolev inequalities for local and non-local $p$-energies on metric measure spaces
by: Yang, Meng
Published: (2026)
by: Yang, Meng
Published: (2026)
Heat kernel-based p-energy norms on metric measure spaces
by: Gao, Jin, et al.
Published: (2023)
by: Gao, Jin, et al.
Published: (2023)
$p$-Poincaré inequalities and cutoff Sobolev inequalities on metric measure spaces
by: Yang, Meng
Published: (2025)
by: Yang, Meng
Published: (2025)
Self-similar Dirichlet form on pillow-type carpets--a short analytic construction
by: Cao, Shiping, et al.
Published: (2026)
by: Cao, Shiping, et al.
Published: (2026)
A non-canonical diffusion on the Sierpiński carpet
by: Cao, Shiping, et al.
Published: (2025)
by: Cao, Shiping, et al.
Published: (2025)
Dirichlet forms on unconstrained Sierpinski carpets
by: Cao, Shiping, et al.
Published: (2021)
by: Cao, Shiping, et al.
Published: (2021)
On singularity of $p$-energy measures on metric measure spaces
by: Yang, Meng
Published: (2025)
by: Yang, Meng
Published: (2025)
On a Lebesgue-like integral over the Levi-Civita field $\mathcal{R}$
by: Borrero, Mateo Restrepo, et al.
Published: (2025)
by: Borrero, Mateo Restrepo, et al.
Published: (2025)
Limiting spherical integrals of bounded continuous functions
by: Alam, Irfan
Published: (2019)
by: Alam, Irfan
Published: (2019)
On the Dirichlet-to-Neumann Map for the $p$-Laplacian on a Metric Measure Space
by: Gibara, Ryan, et al.
Published: (2024)
by: Gibara, Ryan, et al.
Published: (2024)
Spectral theory for fractal pseudodifferential operators
by: Triebel, Hans
Published: (2024)
by: Triebel, Hans
Published: (2024)
Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets
by: Cao, Shiping, et al.
Published: (2024)
by: Cao, Shiping, et al.
Published: (2024)
On the dichotomy of $p$-walk dimensions on metric measure spaces
by: Yang, Meng
Published: (2025)
by: Yang, Meng
Published: (2025)
On the domains of first order differential operators on the Sierpiński gasket
by: Schefer, Waldemar
Published: (2025)
by: Schefer, Waldemar
Published: (2025)
Optimal function spaces and Sobolev embeddings
by: Kubíček, David
Published: (2024)
by: Kubíček, David
Published: (2024)
Poincaré inequalities and $A_p$ weights on bow-ties
by: Björn, Anders, et al.
Published: (2022)
by: Björn, Anders, et al.
Published: (2022)
Tangents to Lipschitz and Sobolev images
by: Badger, Matthew, et al.
Published: (2026)
by: Badger, Matthew, et al.
Published: (2026)
Kernels of trace operators via fine continuity
by: Hinz, Michael, et al.
Published: (2025)
by: Hinz, Michael, et al.
Published: (2025)
Similar Items
-
Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces
by: Kumagai, Takashi, et al.
Published: (2024) -
Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces
by: Anttila, Riku, et al.
Published: (2025) -
Korevaar-Schoen $p$-energy forms and associated $p$-energy measures on fractals
by: Kajino, Naotaka, 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) -
$p$-Energy forms on fractals: recent progress
by: Kajino, Naotaka, et al.
Published: (2025)