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pro vyhledávání: '"Almaz Butaev"'
Autor:
Almaz Butaev, Galia Dafni
Publikováno v:
The Journal of Geometric Analysis. 31:6892-6921
We consider various definitions of functions of vanishing mean oscillation on a domain $$\Omega \subset {{{\mathbb {R}}}^n}$$ . If the domain is uniform, we show that there is a single extension operator which extends functions in these spaces to fun
Autor:
Almaz Butaev
Publikováno v:
Pacific Journal of Mathematics. 298:1-26
We introduce the non-homogeneous analogs of Van Schaftingen's classes. We show that these classes refine the embedding $W^{1,n}\subset bmo$. The analogous results established on bounded Lipschitz domains and Riemannian manifolds with bounded geometry
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We study the behavior of Fourier integrals summed by the symbols of elliptic operators and pointwise convergence of Fourier inversion. We consider generalized localization principle which in classical Lp spaces was investigated by Sjölin (1983), Car
Externí odkaz:
https://doaj.org/article/dede2ed6de2742b99c3f154c6157ceb1
Autor:
Almaz Butaev, Ravshan Ashurov
Publikováno v:
Uzbek Mathematical Journal. 2018:4-26
Autor:
Almaz Butaev
Publikováno v:
Complex Analysis and its Synergies. 5
In this paper we consider the following initial value problem $$\begin{aligned} \left\{ \begin{array}{ll} (\partial _t - \Delta _x + w\cdot \nabla _x +\alpha I) u(t,x) - \beta u(t-\tau ,x) = 0, &{} (t,x)\in {\mathbb {R}}_+\times {\mathbb {R}}^n \\ u(
Autor:
Ravshan Ashurov, Almaz Butaev
Publikováno v:
Topics in Functional Analysis and Algebra. :33-50
Autor:
Almaz Butaev, Ravshan Ashurov
Publikováno v:
Applicable Analysis. 91:2257-2265
It is well-known that only a single condition (called the admissibility condition) is sufficient for L 2-convergence of multiple continuous wavelet transforms (MCWT). However known results suggest that to guarantee the pointwise convergence of MCWT f
Autor:
Almaz Butaev
Publikováno v:
Applied Mathematics Letters. 25(3):567-570
It is well known that the Riesz means of eigenfunction expansions of piecewise smooth functions of order s > ( n − 3 ) / 2 converge uniformly on compacts where these functions are smooth. In 2000 L. Brandolini and L. Colzani considered eigenfunctio
Autor:
Almaz Butaev, Ravshan Ashurov
Publikováno v:
Applied Mathematics Letters. 24:1578-1583
Wavelet analysis is a universal and promising tool with very rich mathematical content and great potential for applications in various scientific fields, in particular, in signal (image) processing and the theory of differential equations. On the oth
Autor:
Almaz Butaev, Ravshan Ashurov
Publikováno v:
Comptes Rendus Mathematique. 348:1103-1106
When n > 2 it is well known that the spherical partial sums of n -fold Fourier integrals of the characteristic function of a ball diverge at the origin, because of the jump at the boundary of the ball. The relation between convergence properties of s