Glasnik matematički, Vol. 52 No. 1, 2017.
Original scientific paper
https://doi.org/10.3336/gm.52.1.09
On a new class of functional spaces with application to the velocity averaging
Martin Lazar
; Department of Electrical Engineering and Computing, University of Dubrovnik, Ćira Carića 4, 20000 Dubrovnik, Croatia
Darko Mitrović
; Faculty of Mathematics and Natural Sciences, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro
Abstract
We introduce a new family of functional spaces which incorporate Bochner spaces Lp(Rm; 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 Lp, p ≤ 2 setting.
Keywords
H-distributions; velocity averaging; non-degeneracy condition
Hrčak ID:
183127
URI
Publication date:
21.6.2017.
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