Sentence examples for we characterize bounded from inspiring English sources
The phrase "we characterize bounded" is not complete and may not be fully clear in written English without additional context.
You can use it in a technical or academic context when discussing properties or features of bounded entities, such as functions or sets. Example: "In our research, we characterize bounded functions to understand their behavior under various conditions."
In this paper we characterize bounded differences of composition operators from standard weighted Bergman spaces Apα into Lebesgue spaces Lq when α>−1 and p>q.
Especially, Elliott and Wynn [13] characterized bounded composition operators and showed that there is no compact composition operator on (A_{alpha }^{2}(Pi^)).
Our paper is strongly motivated by Naber's recent work (2015) on characterizing bounded Ricci curvature through stochastic analysis on path space.
Many such domains have been characterized in terms of the Schwarzian derivative of a conformal map of D. Open image in new window Namely, Becker and Pommerenke in 1978 characterized bounded B 0 Open image in new window domains (see [10]), and in 1991, Astal and Zinsmeister gave a description of BMOA domains (see [11]).
We characterize geometrically bounded measurable setsΩthat tileRnwith such a tile set.
In fact, we characterize the bounded HMSC languages as the subclass of regular MSC languages that are finitely generated.
For example, we characterize right bounded right noetherian rings over which automorphism-invariant modules are quasi-injective.
As an application, we characterize the bounded approximation property (BAP) and the weak BAP in terms of X∗-valued sequence spaces.
We also characterize the bounded Schur multipliers from S2 to Sp. The latter two characterizations extend to 0<p<1 results already known for 1⩽p⩽2.
For strongly local forms we show existence of a maximal intrinsic metric (under a weak continuity condition) and for Dirichlet forms with an absolutely continuous jump kernel we characterize intrinsic metrics by bounds on certain integrals.
As an illustration, we characterize the stability inner bounds for the case.
