On the Vitali covering properties of a differentiation basis
Antonio Cordoba (1976)
Studia Mathematica
Robert Kaufman (1982)
Annales de l'institut Fourier
We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak space; symmetric sets of constant ratio occur in an unexpected way.
Ting Fu Wang, Quan Di Wang (1993)
Collectanea Mathematica
We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.
Tingfu Wang, Cuixia Hao, Minli Li (1995)
Revista Matemática de la Universidad Complutense de Madrid
The concept of WM point is introduced and the criterion of WM property in Orlicz function spaces endowed with Luxemburg norm is given.
Tingfu. Wang, Zongrui Shi, Cuixia Hao (1996)
Collectanea Mathematica
In this paper, we introduce the concept of WM point and obtain the criterion of WM points for Orlicz function spaces endowed with Orlicz norm and the criterion of WM property for Orlicz space.
Wang Baoxiang, Ting Fu Wang, Hao Cuixia (1997)
Commentationes Mathematicae Universitatis Carolinae
We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.
Formica, Maria Rosaria (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
Cong Xin Wu, Hui Ying Sun (1990)
Commentationes Mathematicae Universitatis Carolinae
Z. Chanturia (1981)
Studia Mathematica
Ting Fu Wang, Zhong Rui Shi, Yanhong Li (1992)
Commentationes Mathematicae Universitatis Carolinae
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
S. Astashkin, F. Sukochev, D. Zanin (2015)
Studia Mathematica
Let 1 ≤ p < 2 and let be the classical -space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero random variable spans in a subspace isomorphic to some Orlicz sequence space . We give precise connections between M and f and establish conditions under which the distribution of a random variable whose independent copies span in is essentially unique.
Thomas Riedrich (1980)
Commentationes Mathematicae Universitatis Carolinae
Menita Carozza, Antonia Passarelli di Napoli (2000)
Commentationes Mathematicae Universitatis Carolinae
In this paper we prove a regularity result for very weak solutions of equations of the type , where , grow in the gradient like and is not in divergence form. Namely we prove that a very weak solution of our equation belongs to . We also prove global higher integrability for a very weak solution for the Dirichlet problem
Shutao Chen, Huiying Sun (1993)
Collectanea Mathematica
This paper presents some properties of singular functionals on Orlicz spaces, from which criteria for weak convergence and weak compactness in such spaces are obtained.
T. Walsh (1971)
Studia Mathematica
Al-Qassem, H.M. (2006)
Journal of Inequalities and Applications [electronic only]
Olaleru, J.O. (2002)
International Journal of Mathematics and Mathematical Sciences
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Tomasz Szostok (2011)
Banach Center Publications
In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...
Y. Meyer (1986/1987)
Séminaire Équations aux dérivées partielles (Polytechnique)