The problem and singular integrals on Orlicz spaces
Rostislav Vodák (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
Rostislav Vodák (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
Similarity:
Neil Trudinger (1974)
Studia Mathematica
Similarity:
Pawel. Kolwicz, Ryszard Pluciennik (1998)
Revista Matemática Complutense
Similarity:
It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.
Bor-Luh Lin, Zhongrui Shi (1997)
Collectanea Mathematica
Similarity:
We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
Tingfu Wang, Baoxiang Wang, Minli Li (1996)
Colloquium Mathematicae
Similarity:
C. Finet, G. Tkebuchava (1996)
Studia Mathematica
Similarity:
The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.