Sentence examples for bounded continuous part of from inspiring English sources
Subsolution estimates are important because they say that (psi in L^2 Rightarrow psi in L^infty ) (with, in fact, the function going pointwise to zero at (infty )) and so they give the bounded continuous part of Kato's Theorem 19.1 (for eigenfunctions; for wave packets, see below).
Let (resp., ) denote the collection of all -valued bounded continuous functions (resp., the class of jointly bounded continuous functions ).
Throughout the rest of this paper, let (resp., ) be the space of bounded continuous (resp., jointly bounded continuous) functions with supremum norm, and (1.8).
Since a set of bounded Lipschitz 1 functions is tight in a set of bounded continuous functions, Theorem 1.1 is true for all bounded continuous functions.
where φ i denotes a real-valued bounded continuous function defined on ( − ∞, 0 ]. The remaining part of this paper is organized as follows. In Section 2, we present some new sufficient conditions to ensure that all solutions of CGNNs (1.1) with initial conditions (1.4) converge exponentially to the zero point.
Let denote the collection of all -valued bounded continuous functions.
(resp., is a bounded continuous function with (2.2). uniformly for in any bounded subset of ).
where is the set of bounded continuous n-vector functions on Now, define as the subsequent bounded continuous function: (2.5).
The Yarqon (Yarkon) River bounds the central part of Tel Aviv to the north.
