45 citations · 127 across the 6 of their papers we have counts for
6 papers
On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
Aysegul Alabalik, Alexandre Almeida, Stefan Samko
We consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions. Such subspaces were recently used to describe the closure of $C_0^\infty(\math…
Variable exponent Besov-Morrey spaces
Alexandre Almeida, António Caetano
In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and…
Approximation in Morrey spaces
Alexandre Almeida, Stefan Samko
A new subspace of Morrey spaces whose elements can be approximated by infinitely differentiable compactly supported functions is introduced. Consequently, we give an explicit descr…
Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications
Alexandre Almeida, António Caetano
In this article we study atomic and molecular decompositions in -microlocal Besov and Triebel--Lizorkin spaces with variable integrability. We show that, in most cases, the conv…
On 2-microlocal spaces with all exponents variable
Alexandre Almeida, António Caetano
In this paper we study various key properties for -microlocal Besov and Triebel--Lizorkin spaces with all exponents variable, including the lifting property, embeddings and Four…
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Alexandre Almeida, Petteri Harjulehto, Peter Hästö +1
We prove optimal integrability results for solutions of the -Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz…