Results 31 to 40 of about 993,596 (246)

A unified framework for utility maximization problems: An Orlicz space approach [PDF]

, 2008
We consider a stochastic financial incomplete market where the price processes are described by a vector-valued semimartingale that is possibly nonlocally bounded.
Biagini, Sara, Frittelli, Marco
core   +5 more sources

Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]

, 2017
Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
core   +2 more sources

A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]

, 2015
In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities.
Bonder, Julián Fernández, Borthagaray, Juan Pablo, Silva, Analía   +2 more
core   +2 more sources

The Daugavet property in the Musielak-Orlicz spaces

, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

Weighted inequalities for fractional integral operators and linear commutators in the Morrey type spaces [PDF]

, 2016
In this paper, we first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Wang, Hua
core   +3 more sources

Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Journal of Harbin University of Science and Technology
In this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
doaj   +1 more source

Contractive projections in Orlicz sequence spaces

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
doaj   +1 more source

On Some Geometric Properties of a New Paranormed Sequence Space

Journal of Function Spaces, 2014
We introduce a new sequence space which is defined by the operator W=(wnk) on the sequence space ℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm.
Vatan Karakaya, Fatma Altun
doaj   +1 more source

Best Simultaneous Approximation in Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2007
Let X be a Banach space and let LΦ(I,X) denote the space of Orlicz X-valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, where G is a closed subspace of X,
M. Khandaqji, Sh. Al-Sharif
doaj   +1 more source

Decompositions of Nakano norms by ODE techniques

, 2018
We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
core   +1 more source