K. A. Bekmaganbetov, E. D. Nursultanov, “Embedding theorems for anisotropic Besov spaces <nobr>$B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$</nobr>”, Izv. RAN. Ser. Mat., 2009, Volume 73, Issue 4,Pages <nobr>3

This article is cited in 12 papers

Embedding theorems for anisotropic Besov spaces $B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$

K. A. Bekmaganbetov^a, E. D. Nursultanov^ab

^a Kazakhstan Branch of Lomonosov Moscow State University
^b L. N. Gumilev Eurasian National University

Abstract: We study the anisotropic Besov spaces $B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$ and obtain limit embedding theorems for them.

Keywords: Lorentz space, Besov space, embedding theorem, trace theorem.

UDC: 517.51

MSC: 46E35

Received: 29.10.2007
Revised: 21.02.2008

DOI: 10.4213/im2741