Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Almaz Butaev"'
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, 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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f6a80f14896fa925413f1ef9b305c3
https://doi.org/10.1007/s12220-020-00526-8
https://doi.org/10.1007/s12220-020-00526-8
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a19d99f35fa5184614351511f8d7b90
https://doi.org/10.2140/pjm.2019.298.1
https://doi.org/10.2140/pjm.2019.298.1
Autor:
Almaz Butaev, Ravshan Ashurov
Publikováno v:
Uzbek Mathematical Journal. 2018:4-26
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c46db814d74eebde4f652bd92c558fb7
https://doi.org/10.29229/uzmj.2018-1-1
https://doi.org/10.29229/uzmj.2018-1-1
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(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e60ff89c95107391588e39a1241da29c
https://doi.org/10.1007/s40627-019-0029-1
https://doi.org/10.1007/s40627-019-0029-1
Autor:
Ravshan Ashurov, Almaz Butaev
Publikováno v:
Topics in Functional Analysis and Algebra. :33-50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6bf23de9d15eda11b9d5d6be94073bc
https://doi.org/10.1090/conm/672/13549
https://doi.org/10.1090/conm/672/13549
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e53cbde70455d1c419ba2eeef914ea28
https://doi.org/10.1080/00036811.2011.601296
https://doi.org/10.1080/00036811.2011.601296
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8522ab1629dfadd2b83ef7167003e367
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10521de3b52f641e8d9b6a9eab6e61f1
https://doi.org/10.1016/j.aml.2011.03.050
https://doi.org/10.1016/j.aml.2011.03.050
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6f2af685ef23388a9c0fbc44426f63c
https://doi.org/10.1016/j.crma.2010.07.029
https://doi.org/10.1016/j.crma.2010.07.029