scholarly journals UNIFORM INTEGRABILITY AND MEAN CONVERGENCE FOR THE VECTOR-VALUED MCSHANE INTEGRAL

1997 ◽  
Vol 23 (1) ◽  
pp. 303 ◽  
Author(s):  
Swartz
Keyword(s):  
Uniform Integrability ◽  
Mean Convergence ◽  
Mcshane Integral ◽  
Vector Valued

A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements

2020 ◽  
Vol 487 (1) ◽  
pp. 123975
Author(s):  
Manuel Ordóñez Cabrera ◽  
Andrew Rosalsky ◽  
Mehmet Ünver ◽  
Andrei Volodin
Keyword(s):  
Banach Space ◽  
Weighted Sums ◽  
Uniform Integrability ◽  
Mean Convergence ◽  
Random Elements ◽  
New Type ◽  
Degenerate Mean Convergence

Mean Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability

2019 ◽  
Vol 40 (8) ◽  
pp. 1218-1229
Author(s):  
Nguyen Van Quang ◽  
Do The Son ◽  
Tien-Chung Hu ◽  
Nguyen Van Huan
Keyword(s):  
Uniform Integrability ◽  
Convergence Theorems ◽  
Laws Of Large Numbers ◽  
Mean Convergence ◽  
Large Numbers ◽  
Measurable Operators ◽  
Weak Laws

Pettis mean convergence of vector-valued asymptotic martingales

1977 ◽  
Vol 37 (4) ◽  
pp. 291-295 ◽  
Author(s):  
J. J. Uhl
Keyword(s):  
Mean Convergence ◽  
Vector Valued

scholarly journals Beppo Levi's theorem for the vector-valued McShane integral and applications

1997 ◽  
Vol 4 (5) ◽  
pp. 589-599
Author(s):  
Charles Swartz
Keyword(s):  
Mcshane Integral ◽  
Vector Valued

scholarly journals New extension of the variational McShane integral of vector-valued functions

2018 ◽  
Vol 144 (2) ◽  
pp. 137-148
Author(s):  
Sokol Bush Kaliaj
Keyword(s):  
Mcshane Integral ◽  
Vector Valued Functions ◽  
Vector Valued

Some results concerning ideal and classical uniform integrability and mean convergence

2021 ◽  
Author(s):  
Nour Al Hayek ◽  
Manuel Ordóñez Cabrera ◽  
Andrew Rosalsky ◽  
Mehmet Ünver ◽  
Andrei Volodin
Keyword(s):  
Uniform Integrability ◽  
Mean Convergence

scholarly journals Mean Convergence of Vector-valued Walsh Series

1993 ◽  
Vol 162 (1) ◽  
pp. 117-124 ◽  
Author(s):  
Jörg Wenzel
Keyword(s):  
Walsh Series ◽  
Mean Convergence ◽  
Vector Valued

Some inequalities for martingales and applications to the study of L1

1981 ◽  
Vol 89 (1) ◽  
pp. 135-148
Author(s):  
Leonard E. Dor
Keyword(s):  
Recent Result ◽  
Quadratic Variation ◽  
Uniform Integrability ◽  
Martingale Difference ◽  
Quantitative Version ◽  
Difference Sequences ◽  
Nikodym Property ◽  
Vector Valued

AbstractWe obtain here estimates for the expectation of a restricted quadratic variation of L1 bounded (weak) martingales and positive submartingales, and for related functionals. These inequalities are then used to give a quantitative version of a recent result of D. J. Aldous and D. H. Fremlin concerning the L1 norms of expansions with respect to uniformly integrable L1-normalized martingale difference sequences. Another application relates precisely the degree of norm divergence of an L1-bounded martingale to the degree of non-uniform integrability of that martingale. A partial analogue of this result is proved for certain vector valued martingales with values in L1 which are related to the Radon–Nikodým property.

scholarly journals An equivalent definition of the vector-valued McShane integral by means of partitions of unity

2002 ◽  
Vol 151 (2) ◽  
pp. 175-185 ◽  
Author(s):  
L. Di Piazza ◽  
V. Marraffa
Keyword(s):  
Equivalent Definition ◽  
Mcshane Integral ◽  
Definition Of ◽  
Vector Valued
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