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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

Puni tekst: engleski, pdf (190 KB) str. 115-130 preuzimanja: 136* citiraj
APA 6th Edition
Lazar, M. i Mitrović, D. (2017). On a new class of functional spaces with application to the velocity averaging. Glasnik matematički, 52 (1), 115-130. https://doi.org/10.3336/gm.52.1.09
MLA 8th Edition
Lazar, Martin i Darko Mitrović. "On a new class of functional spaces with application to the velocity averaging." Glasnik matematički, vol. 52, br. 1, 2017, str. 115-130. https://doi.org/10.3336/gm.52.1.09. Citirano 19.11.2019.
Chicago 17th Edition
Lazar, Martin i Darko Mitrović. "On a new class of functional spaces with application to the velocity averaging." Glasnik matematički 52, br. 1 (2017): 115-130. https://doi.org/10.3336/gm.52.1.09
Harvard
Lazar, M., i Mitrović, D. (2017). 'On a new class of functional spaces with application to the velocity averaging', Glasnik matematički, 52(1), str. 115-130. https://doi.org/10.3336/gm.52.1.09
Vancouver
Lazar M, Mitrović D. On a new class of functional spaces with application to the velocity averaging. Glasnik matematički [Internet]. 2017 [pristupljeno 19.11.2019.];52(1):115-130. https://doi.org/10.3336/gm.52.1.09
IEEE
M. Lazar i D. Mitrović, "On a new class of functional spaces with application to the velocity averaging", Glasnik matematički, vol.52, br. 1, str. 115-130, 2017. [Online]. https://doi.org/10.3336/gm.52.1.09

Sažetak
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.

Ključne riječi
H-distributions; velocity averaging; non-degeneracy condition

Hrčak ID: 183127

URI
https://hrcak.srce.hr/183127

Posjeta: 209 *