[HTML][HTML] Sobolev embeddings in Orlicz and Lorentz spaces with measures

A Cianchi, L Pick, L Slavikova - Journal of Mathematical Analysis and …, 2020 - Elsevier
Abstract Embedding theorems for Orlicz-Sobolev spaces into Orlicz or Orlicz-Lorentz spaces
in domains in R n, endowed with a Frostman measure, are offered. Parallel embeddings for …

Embeddings of homogeneous Sobolev spaces on the entire space

Z Mihula - Proceedings of the Royal Society of Edinburgh Section …, 2021 - cambridge.org
We completely characterize the validity of the inequality, where X and Y are rearrangement-
invariant spaces, by reducing it to a considerably simpler one-dimensional inequality …

Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space

Z Mihula - Mathematische Zeitschrift, 2021 - Springer
Poincaré-Sobolev-type inequalities involving rearrangement-invariant norms on the
entire\mathbb R^ n R n are provided. Namely, inequalities of the type ‖ uP ‖ _ Y (\mathbb …

Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space

A Cianchi, GY Diebou, L Slavíková - Advances in Calculus of …, 2025 - degruyter.com
Existence and global regularity results for boundary-value problems of Robin type for
harmonic and polyharmonic functions in n-dimensional half-spaces are offered. The Robin …

[HTML][HTML] Optimal extension of the Fourier transform and convolution operator on compact groups

M Kumar, NS Kumar - Indagationes Mathematicae, 2020 - Elsevier
Optimal extension of the Fourier transform and convolution operator on compact groups -
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