In mathematics, Bochner spaces are a generalization of the concept of {\displaystyle L^{p}} spaces to functions whose values lie in a Banach space. Definition · Applications · Application to PDE theory

29 нояб. 2016 г. · We proceed to define the Bochner integral and the Bochner spaces L p (S;X), which are the vector-valued counterparts of the Lebesgue integral and the classical ...

i.e. its dual space is isometrically isomorphic to the Hölder conjugate. Bochner space of the dual X ? . Wolfgang Stefani. Bochner Spaces. 10/12. Page 11 ...

13 мая 2017 г. · The best reference is the book "Vector Measures" by Diestel and Uhl. It introduces all the concepts of weak measurability and carefully proves all the concepts. Bochner Space "basic properties" (Reference Request) Cauchy-Schwarz inequality for Bochner spaces Restriction of a function in Bochner space - Math Stack Exchange Trace theorem for Bochner space. - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

exposed points in this Hardy]Bochner space is governed by the following vector-valued identity theorem, a trivial consequence of its scalar counter- w x.

29 мар. 2023 г. · In this paper, we study some optimization problems in uniformly convex and uniformly smooth Bochner spaces.

By Lp(G;X) we denote the space Lp(µ;X), where µ is the restriction of the n-dimensional Lebesgue measure to G. If p ∈ [1,∞) and X is separable, then Lp(G;X) is ...

1.3 Bochner and Sobolev spaces. 1.3.1 Lebesgue (Bochner) spaces. The Lebesgue spaces Lp(Q; X) are spaces of (Bochner) measurable functions v ranging in a ...

Let be a Banach function space and be a real Banach space. We study Bochner representable operators from a Köthe-Bochner space to a Banach space . We consider ...

21 авг. 2023 г. · In the context of linear parabolic equations, the Sobolev space W1,q([0,T],Lp(U)) appears all the time. Here, U is some bounded region of Rn ... A good reference for Bochner spaces - MathOverflow Equivalent characterization of weak derivative in Bochner space On the Bochner spaces $L^\infty(a,b;L^p(c,d))$ and $L^p(c,d Reference request for the dual space of the Bochner Space $L ... Другие результаты с сайта mathoverflow.net