36 citations · 127 across the 11 of their papers we have counts for
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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…
Embeddings of Besov Spaces on fractal h-sets
António Caetano, Dorothee Haroske
Let be a fractal -set and be a trace space of Besov type defined on . While we dealt in [9] with growth envelopes of such spaces mainly and in…
Traces for Besov spaces on fractal h-sets and dichotomy results
António Caetano, Dorothee Haroske
We study the existence of traces of Besov spaces on fractal -sets with the special focus laid on necessary assumptions implying this existence, or, in other words, present c…