3 citations · 3 across the 6 of their papers we have counts for
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Variable Besov-type spaces
Douadi Drihem, Zeghad Zouheyr
In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the -transforms in appropriate sequence s…
Dilation in function spaces with general weights
Douadi Drihem
In this paper, we present more regularity conditions which ensure the boundedness of dilation operators on Besov and Triebel-Lizorkin spaces equiped with general weights.
Real interpolation with variable exponent
Douadi Drihem
We present the real interpolation with variable exponent and we prove the basic properties in analogy to the classical real interpolation. More precisely, we prove that under some…
A note on Hardy-type inequalities in variable exponent Lebesgue spaces
Douadi Drihem
We present new estimate for Hardy-type inequality in variable exponent Lebesgue spaces. More precisely, by imposing regularity assumptions on the exponent, we prove that the estima…
Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces
Douadi Drihem
In this paper we prove the Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces. Moreover, we obtain the Jawerth-Franke embeddings of Besov and Triebel-Lizorkin…
Besov-type spaces with variable smoothness and integrability II
Douadi Drihem
The aim of this paper is to study properties of Besov-type spaces with variable smoothness. We show that these spaces are characterized by the phi-transforms in appropriate sequenc…