The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–
Sobolev spaces in R n. An improved embedding with an Orlicz–Lorentz target space, which …

A necessary and sufficient condition for fractional Orlicz–Sobolev spaces to be continuously
embedded into L∞(R n) is exhibited. Under the same assumption, any function from the …

In mathematical modelling, the data and solutions are represented as measurable functions
and their quality is oftentimes captured by the membership to a certain function space. One …

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 …

Sobolev embeddings, rearrangement-invariant spaces and Frostman measures Page 1
Available online at www.sciencedirect.com ScienceDirect Ann. IH Poincaré – AN 37 (2020) …

A unified approach to embedding theorems for Sobolev type spaces of vector-valued
functions, defined via their symmetric gradient, is proposed. The Sobolev spaces in question …

This paper explores some important aspects of the theory of rearrangement-invariant quasi-
Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the …

In this paper we introduce the concept of Wiener–Luxemburg amalgam spaces which are a
modification of the more classical Wiener amalgam spaces intended to address some of the …

The behavior of certain weighted Hardy‐type operators on rearrangement‐invariant function
spaces is thoroughly studied. Emphasis is put on the optimality of the obtained results. First …

We deal with Orlicz-Sobolev embeddings in open subsets of ℝ ⁿ. A necessary and sufficient
condition is established for the existence of an optimal (ie, largest possible) Orlicz-Sobolev …