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 …

Abstract Let p∈[1,∞) and X be a ball Banach function space on R n with an absolutely
continuous norm for which the Hardy–Littlewood maximal operator is bounded on (X 1/p) …

Let X be a ball Banach function space on R n. In this article, under some mild extra
assumptions about both X and the boundedness of the Hardy–Littlewood maximal operator …

Let $\gamma\in\mathbb {R}\setminus\{0\} $ and $ X (\mathbb {R}^ n) $ be a ball Banach
function space satisfying some mild assumptions. Assume that $\Omega=\mathbb {R}^ n …

The affine L p Pólya–Szegö principle significantly strengthens the classical Pólya–Szegö
principle. It is an open problem whether there exists an affine Orlicz Pólya–Szegö principle …

We generalize Bourgain-Brezis-Mironescu's asymptotic formula for fractional Sobolev
functions, in the setting of abstract metric measure spaces, under the assumption that at …

Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

Under certain restrictions on s, p, q, the Triebel-Lizorkin spaces can be viewed as
generalised fractional Sobolev spaces W qs, p. In this article, we show that the Bourgain …

Some recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They
concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related …

Let $\Omega\subset\mathbb {R}^ n $ be a bounded $(\varepsilon,\infty) $-domain with
$\varepsilon\in (0, 1] $, $ X (\mathbb {R}^ n) $ a ball Banach function space satisfying some …