PreprintarXiv licencearXiv
Embedding theorems for Herz-Type Sobolev spaces on domains
Abstract
In this paper, we further investigate the properties of Herz-type Sobolev spaces on domains, which unify and generalize the classical Sobolev spaces. In particular, we establish several Sobolev-type embedding theorems for these spaces. Moreover, by means of a suitable example, we show that some of the assumptions imposed on the parameters are optimal.
Related
- Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
- Divergence-Free Approximation in Sobolev and Lebesgue Spaces on General Unbounded Domains with Applications to Energy Equality in Fluid Dynamics
- Parabolic abstract evolution equations in cylindrical domains and uniformly local Sobolev spaces
- Wolff Potential and Birkhoff's Ergodic Theorem in Grand Variable Herz Spaces
- Mixed-norm Herz-type Triebel-Lizorkin spaces
BibTeX
@misc{drihem2026embedding,
title = {{Embedding theorems for Herz-Type Sobolev spaces on domains}},
author = {Douadi Drihem},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22570},
eprint = {2610.22570},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22570},
}
RIS
TY - UNPB
TI - Embedding theorems for Herz-Type Sobolev spaces on domains
AU - Douadi Drihem
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22570
UR - https://arxiv.org/abs/2610.22570
AB - In this paper, we further investigate the properties of Herz-type Sobolev spaces on domains, which unify and generalize the classical Sobolev spaces. In particular, we establish several Sobolev-type embedding theorems for these spaces. Moreover, by means of a suitable example, we show that some of the assumptions imposed on the parameters are optimal.
ER -