There is a rapidly increasing number of papers dealing with smoothness spaces related to
Morrey spaces. It will be the aim of this survey to give an introduction to one of these …

1 Introduction Page 1 EURASIAN MATHEMATICAL JOURNAL ISSN 2077-9879 Volume 4,
Number 1 (2013), 82 – 124 SMOOTHNESS SPACES RELATED TO MORREY SPACES – A …

In this paper we address nonlocal vector variational principles obtained by substitution of the
classical gradient by the Riesz fractional gradient. We show the existence of minimizers in …

This paper considers a Bayesian approach for inclusion detection in nonlinear inverse
problems using two known and popular push-forward prior distributions: the star-shaped …

We establish a surface order large deviation estimate for the magnetisation of low
temperature ϕ 3 4. As a byproduct, we obtain a decay of spectral gap for its Glauber …

The purpose of this paper consists in a better understanding of the fractional nature of the
nonlocal perimeters introduced in [L. Caffarelli, J.-M. Roquejoffre and O. Savin, Nonlocal …

In this survey we shall deal with the regularity of characteristic functions XE\mathcal X _E of
subsets E of ℝ d R^ d in the framework of Besov spaces. We will describe a number of …

In this article, we prove a stability estimate going from the Radon transform of a function with
limited angle-distance data to the L p norm of the function itself, under some conditions on …

This paper is about the dynamics of non-diffusive temperature fronts evolving by the
incompressible viscous Boussinesq system in R^ 3 R 3. We provide local in time existence …

The purpose of this paper is to expose and investigate natural phase-space formulations of
two longstanding problems in the restriction theory of the Fourier transform. These problems …