نتایج جستجو برای: sobolev subspace

تعداد نتایج: 25252  

2014
Kai Rajala Stefan Wenger

The aim of the present paper is to define a notion of weakly differentiable cochain in the generality of metric measure spaces and to study basic properties of such cochains. Our cochains are (sub)additive functionals on a subspace of chains, and a suitable notion of chains in metric spaces is given by Ambrosio–Kirchheim’s theory of metric currents. The notion of weak differentiability we intro...

1985
HAROLD P. BOAS H. P. BOAS

The orthogonal projection from a Sobolev space WS(Q) onto the subspace of holomorphic functions is studied. This analogue of the Bergman projection is shown to satisfy regularity estimates in higher Sobolev norms when ß is a smooth bounded strictly pseudoconvex domain in C". The Bergman projection P0: L2(ü) -» L2(S2) n {holomorphic functions}, where S2 c C" is a smooth bounded domain, has prove...

Ahmad Rezaee, Ali Sameripour

Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.

ژورنال: فیزیک زمین و فضا 2013
حمیدرضا باقری عبدالرضا صفری محمدعلی شریفی, یحیی الله توکلی

با پرتاب جفت‌ماهواره GRACE (Gravity Recovery And Climate Experiments) در سال 2002، این امکان به‌وجود آمد که بتوان تغییرات میدان گرانی را به‌صورت ماهیانه را با دقت زیاد و در مقیاس جهانی به‌دست آورد. یکی از کاربردهای این مدل‌های ماهیانه در به‌دست آوردن تغییرات میدان گرانی ناشی از تغییرات جرم سطحی به‌علت پدیده‌های هیدرولوژیکی است. اما داده‌های پتانسیلی جفت‌ماهواره GRACE دارای نوفه‌‌‌ای هستند که با...

Journal: :Applicable Analysis 2021

In this paper, we are concerned with some qualitative properties of the new fractional Musielak–Sobolev spaces WsLΦx,y such that generalized Poincaré type inequality and continuous compact embedding results. Moreover, prove any function in WsLΦx,y(Ω) may be extended to a WsLΦx,y(RN), Ω⊂RN is bounded domain class C0,1. addition, establish result relates complemented subspace WsLΦx,yRN. As an app...

2008
Song-Ying Li

Let D be a bounded domain in C with C boundary. Many holomorphic function spaces over D have been introduced in last half century, such as Hardy, Bergman, Besov and Sobolev spaces. Properties (boundary behaviour ect.) of functions in those function spaces have been received a great deal of studies. Readers can see parts of them from the following books [26] [29], [66], [71], [75], [76] and refe...

2016
Michael B. Cohen Jelani Nelson David P. Woodruff

We prove, using the subspace embedding guarantee in a black box way, that one can achieve the spectral norm guarantee for approximate matrix multiplication with a dimensionality-reducing map having m = O(r̃/ 2) rows. Here r̃ is the maximum stable rank, i.e., the squared ratio of Frobenius and operator norms, of the two matrices being multiplied. This is a quantitative improvement over previous wo...

2013
A. Pelczynski Warszawa

It is proved that the Disc Algebra does not contain a complemented subspace isomorphic to the space C(k)(Td) of k times continuously differentiable functions on the d-dimensional torus ( k = 1, 2, ... ; d = 2, 3, ... ). Introduction. Recall two interesting problems concerning the space q 1)(T2 ) of continuously differentiable functions on the 2-dimensional torus T2 . (I) Is C(1)(T2 ) isomorphic...

Journal: :Journal of Functional Analysis 2022

In the article, integration of temporal functions in (possibly non-UMD) Banach spaces with respect to non-Gaussian) fractional processes from a finite sum Wiener chaoses is treated. The family that considered includes, for example, Brownian motions any Hurst parameter or, more generally, fractionally filtered generalized Hermite processes. class includes large variety most commonly used functio...

A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}$ such that the disk-scaled orbit ${alpha T_n x: nin mathbb{N}, alpha inmathbb{C}, | alpha | leq 1}cap M$ is dense in $M$. The goal of t...

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