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

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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; ?(.)] define operator-valued measures with bounded .-variation and use these spaces to obtain an isometric characterization of the space of all ?(.)-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

哭得清醒了

反話

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