34 citations · 108 across the 10 of their papers we have counts for
11 papers
Splitting of Liftings in Product Spaces
Kazimierz Musial
Let and be two probability spaces and be their skew product on the product -algebra ${\mathfrak A}\otimes\mfB$. Moreover, let $…
Conditional Expectations in Banach spaces with RNP
Kazimierz Musial
Let be a Banach space with RNP, $(\vO,\vS,μ)$ be a complete probability space and $\vG:\vO\to{cb(X)}$ (nonempty, closed convex and bounded subsets of ) be a multifunction. A…
Convergence for varying measures in the topological case
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguel…
Convergence for varying measures
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
Some limit theorems of the type are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences ob…
Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral
Luisa Di Piazza, Kazimierz Musial, Anna Rita Sambucini
An integral for a scalar function with respect to a multimeasure taking its values in a locally convex space is introduced. The definition is independent of the selections of $…
Multi-integrals of finite variation
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.
Relations among Gauge and Pettis integrals for -valued multifunctions
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
The aim of this paper is to study relationships among "gauge integrals" (Henstock, Mc Shane, Birkhoff) and Pettis integral of multifunctions whose values are weakly compact and con…
Multifunctions determined by integrable functions
D. Candeloro, L. Di Piazza, K. Musial +1
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it c…
Integration of multifunctions with closed convex values in arbitrary Banach spaces
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
Integral properties of multifunctions with closed convex values are studied. In this more general framework not all the tools and the technique used for weakly compact convex value…
Some new results on integration for multifunction
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musiał +1
It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections an…
Gauge integrals and selections of weakly compact valued multifunctions
D. Candeloro, L. Di Piazza, K. Musial +1
In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets…