0000000001333863
AUTHOR
Marraffa, Valeria
showing 6 related works from this author
MR2541232 (2010j:60101) Yong, Jiao; Lihua, Peng; Peide, Liu Atomic decompositions of Lorentz martingale spaces and applications. J. Funct. Spaces App…
2010
In this paper atomic decomposition theorems of martingales are considered. In particular, three atomic decomposition theorems for Lorentz martingale spacesHs p,q, Qp,q andDp,q, where 0 < p < 1, and 0 < q 1, are proved. As a consequence of these decompositions, the authors obtain a sufficient condition for a sublinear operator T, defined on the previous Lorentz martingale spaces Hs p,q, Qp,q and Dp,q and taking values in Lorentz spaces Lr, to be bounded. Also, a restricted weak-type interpolation theorem is established.
A stochastic integral of operator-valued functions.
2009
A stochastic integral of operator-valued functions.
MR2374457 (2009j:28033) Kakihara, Yûichirô Integration with respect to Hilbert-Schmidt class operator valued measures. Applied functional analysis, 2…
2009
Integration with respect to Hilbert-Schmidt class operator valued measures
MR2407444 (2009e:60101) Labuschagne, Coenraad C. A. Join-semilattices of integrable set-valued martingales. Thai J. Math. 5 (2007), no. 1, 53--69. (R…
2009
Join-semilattices of integrable set-valued martingales
Vector-valued tree martingales. Rocky Mountain
2014
MR3127838
Product local system and Fubini and Tonelli theorems
2008
We present an integral, called S-integral, de ned by means of Riemann sums related to product local systems on the plane. The classical Henstock integral on the plane with respect to the Kurzweil basis is an example of integral related to a product local system. Some properties and a Fubini type theorem for the S-integral are considered. A monotone convergence theorem for the integral constructed by a local sys- tem in the real line is given and it is used to obtain a Tonelli type theorem for a product local system.