spaces over open subsets of
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Akihiko Miyachi (1990)
Studia Mathematica
Schmeelk, John (1994)
International Journal of Mathematics and Mathematical Sciences
Gasmi, A., Sifi, M., Soltani, F. (2006)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02.
Jean-Pierre Gabardo (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Jean Schmets, Manuel Valdivia (2001)
RACSAM
The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C∞-functions on an open subset of Rn. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of Rn into a space of holomorphic functions on an open subset D of Cn such that D ∩ Rn = RnF.
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