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Original scientific paper

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

Full text: english pdf 190 Kb

page 115-130

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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.


H-distributions, velocity averaging, non-degeneracy condition

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