483 research outputs found
Analysis of Human Spleen Contamination
Besides carbon, oxygen and nitrogen, numerous other elements and their compounds are significant in the body of humans and other animals. Accumulation of some elements and their compounds is recognized by clinical and biochemical evaluation. The physical-chemical properties and topical characteristics of elements in tissues may play a crucial role in evaluation their effect on human body. The ^57^Fe Mössbauer measurement was used for evaluation of iron–oxide biomagnetic nanoparticles composition and properties. Absorption spectra of the powdered spleen recorded at 77K and 300K were measured and subsequently analyzed. From fitted data it is possible to obtain material composition as well as discuss the mean particle size (received from decrease hyperfine field in comparison with bulk value)
Stochastic maximal -regularity
In this article we prove a maximal -regularity result for stochastic
convolutions, which extends Krylov's basic mixed -inequality for the
Laplace operator on to large classes of elliptic operators,
both on and on bounded domains in with
various boundary conditions. Our method of proof is based on McIntosh's
-functional calculus, -boundedness techniques and sharp
-square function estimates for stochastic integrals in -spaces.
Under an additional invertibility assumption on , a maximal space--time
-regularity result is obtained as well.Comment: Published in at http://dx.doi.org/10.1214/10-AOP626 the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
On the R-boundedness of stochastic convolution operators
The -boundedness of certain families of vector-valued stochastic
convolution operators with scalar-valued square integrable kernels is the key
ingredient in the recent proof of stochastic maximal -regularity,
, for certain classes of sectorial operators acting on spaces
, . This paper presents a systematic study of
-boundedness of such families. Our main result generalises the
afore-mentioned -boundedness result to a larger class of Banach lattices
and relates it to the -boundedness of an associated class of
deterministic convolution operators. We also establish an intimate relationship
between the -boundedness of these operators and the boundedness of
the -valued maximal function. This analysis leads, quite surprisingly, to an
example showing that -boundedness of stochastic convolution operators fails
in certain UMD Banach lattices with type .Comment: to appear in Positivit
Embedding vector-valued Besov spaces into spaces of -radonifying operators
It is shown that a Banach space has type if and only for some (all)
the Besov space embeds into the
space \g(L^2(\R^d),E) of \g-radonifying operators . A
similar result characterizing cotype is obtained. These results may be
viewed as -valued extensions of the classical Sobolev embedding theorems.Comment: To appear in Mathematische Nachrichte
Stochastic integration in Banach spaces - a survey
This paper presents a brief survey of the theory of stochastic integration in
Banach spaces. Expositions of the stochastic integrals in martingale type 2
spaces and UMD spaces are presented, as well as some applications of the latter
to vector-valued Malliavin calculus and the stochastic maximal regularity
problem. A new proof of the stochastic maximal regularity theorem is included.Comment: minor corrections. To appear in the proceedings of the 2012 EPFL
Semester on Stochastic Analysis and Application
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