Titlebook: Vector Measures, Integration and Related Topics; Guillermo P. Curbera,Gerd Mockenhaupt,Werner J. Ri Conference proceedings 2010 Birkhäuser

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清楚

Fourier Series in Banach spaces and Maximal Regularity,em and give applications to differential equations. In particular, we characterize maximal regularity (in a slightly different version than the usual one) by .-sectoriality. Applications to non-autonomous problems are indicated.

extinguish

On Vector Measures, Uniform Integrability and Orlicz Spaces,..(μ). We also provide a characterization of the Pettis integral of Dunford integrable functions by mean of weak compactness in separable Orlicz spaces and give a necessary and sufficient condition for the uniform integrability of {.∈..}, whenever .:Ω→.* is Gel’fand integrable.

Enteropathic

Spaces of Operator-valued Functions Measurable with Respect to the Strong Operator Topology,e show that functions in ../μ; ℒ(.)] define operator-valued measures with bounded .-variation and use these spaces to obtain an isometric characterization of the space of all ℒ(.)-valued multipliers acting boundedly from ..(μ; .) into ..(μ; .), 1≤.<.<∞.

Fester

A Decomposition of Henstock-Kurzweil-Pettis Integrable Multifunctions, same result can be achieved in case of an arbitrary Banach space. Applying the representation theorem we describe the multipliers of the Henstock-Kurzweil-Pettis integrable multifunctions. Then we use this description to obtain a characterization of the Henstock-Kurzweil-Pettis integrability in terms of subadditive operators.

intricacy

Fourier Series in Banach spaces and Maximal Regularity,..(0, 2π; .) converges unconditionally if and only if .=2 and . is a Hilbert space. For operator-valued multipliers we present the Marcinkiewicz theorem and give applications to differential equations. In particular, we characterize maximal regularity (in a slightly different version than the usual

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反话

Limited

Paraplegia

How Summable are Rademacher Series?, the extension of this result to the setting of rearrangement invariant spaces. The space .. of functions having square exponential integrability plays a prominent role in this problem..Another way of gauging the summability of Rademacher series is considering the . of the Rademacher series in a rea