Radon–Nikodym theorem

Known as: Radon-Nikodym, Radon-Nikodym Theorem, Radon Nikodym

In mathematics, the Radon–Nikodym theorem is a result in measure theory which states that, given a measurable space , if a σ-finite measure on is…

Papers overview

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2008

(|f | 2)x, and K(x, t) = ^((1 + t)f(x) (1 *)/(-*)). The map K is an odd map. It is continuous and compact if / is. We have N(K) n…

2005

We defined in (7) a set-valued integral for multifunctions with respect to a multi- measure, where both the multifunctions and…

2003

In this short paper we prove the equivalence between the RadonNikodym Theorem for reflexive Banach spaces and the…

2002

where b, c, d, e are nonnegative integers. As in the case of F2, since the derivative of f(x) = (h(x))2k(x) is f'(x) = (h(x))2k…

1996

A deep representation theorem of random conjugate spaces and its several important applications are given. As an application of…

Review

1988

Review

1988

ECA (European Collaborative Action "lndoor Air Quality and its Impact on Man"), 1995. Radon in indoor air. Report No 15, EUR 161…

1988

Given a real-valued process A with finite variation JAI and a vector-valued process B with finite variation IBI such that for…

1988

Using a recent integration theory with respect to a Banach-valued finitely additive mea- sure, a Radon-Nikodym theorem is derived…

1984

We show that nonnegative solutions of the porous medium equation in an infinite strip have nontangential initial values pointwise…

1969

Introduction. Let C(S) be the ring of continuous real valued functions on a compact Hausdorff space S. Stone [5] shows that each…