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On a new class of functional spaces with application to the velocity averaging (CROSBI ID 242816)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Lazar, Martin ; Mitrović, Darko
On a new class of functional spaces with application to the velocity averaging // Glasnik matematički, 52 (2017), 1; 115-130. doi: 10.3336/gm.52.1.09
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Lazar, Martin ; Mitrović, Darko
engleski
On a new class of functional spaces with application to the velocity averaging
We introduce a new family of functional spaces which incorporate Bochner spaces L^p(R^m ; E), with E being an appropriate Banach space, and to which we extend the H-distributions. We use the developed theory to prove a general version of the velocity averaging lemma in a heterogeneous L^p, p ≤ 2 setting.
H-distributions ; velocity averaging ; non-degeneracy condition
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