On linear functionals in Hardy-Orlicz spaces, I
R. Leśniewicz (1973)
Studia Mathematica
Similarity:
R. Leśniewicz (1973)
Studia Mathematica
Similarity:
Yuzan He (1988)
Annales Polonici Mathematici
Similarity:
Michał Rzeczkowski (2016)
Annales Polonici Mathematici
Similarity:
We describe the Banach envelopes of Hardy-Orlicz spaces of analytic functions on an annulus in the complex plane generated by Orlicz functions well-estimated by power-type functions.
Khalil, Roshdi (1986)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Tadeusz Iwaniec, Carlo Sbordone (2004)
Banach Center Publications
Similarity:
Eiichi Nakai (2008)
Studia Mathematica
Similarity:
We prove basic properties of Orlicz-Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy-Littlewood maximal operator M from one Orlicz-Morrey space to another. For example, if f ∈ L(log L)(ℝⁿ), then Mf is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M, we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.
William Kraynek (1972)
Studia Mathematica
Similarity:
Andreas Hartmann (1999)
Studia Mathematica
Similarity:
Juhani Riihentaus, Caiheng Ouyang (1997)
Mathematica Scandinavica
Similarity:
J. Albrycht
Similarity:
Lech Maligranda, Katsuo Matsuoka (2015)
Colloquium Mathematicae
Similarity:
We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
Diego Gallardo (1988)
Publicacions Matemàtiques
Similarity:
Let M be the Hardy-Littlewood maximal operator defined by: Mf(x) = supx ∈ Q 1/|Q| ∫Q |f| dx, (f ∈ Lloc(Rn)), where the supreme is taken over all cubes Q containing x and |Q| is the Lebesgue measure of Q. In this paper we characterize the Orlicz spaces Lφ*, associated to N-functions φ, such that M is bounded in Lφ*....
E.R. Love (1986)
Mathematische Zeitschrift
Similarity:
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
Similarity:
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.
Henryk Hudzik, Zenon Zbaszyniak (1997)
Collectanea Mathematica
Similarity:
A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.
Michał Kisielewicz (1975)
Annales Polonici Mathematici
Similarity:
Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.