23 citations · 26 across the 6 of their papers we have counts for
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math.FA2012★ 1 cited
Lorentz spaces with variable exponents
Henning Kempka, Jan Vybíral
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings…
math.FA2012★ 23 cited
On the Interplay of Regularity and Decay in Case of Radial Functions I. Inhomogeneous spaces
Winfried Sickel, Leszek Skrzypczak, Jan Vybiral
We deal with decay and boundedness properties of radial functions belonging to Besov and Lizorkin-Triebel spaces. In detail we investigate the surprising interplay of regularity an…
math.FA2012★ 2 cited
Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces
Cornelia Schneider, Jan Vybíral
We provide non-smooth atomic decompositions for Besov spaces $\Bd(\rn)$, , , defined via differences. The results are used to compute the trace of Besov spac…