Results 81 to 90 of about 1,659 (229)
On the uniformly normal structure of Orlicz spaces with Orlicz norm [PDF]
summary:We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the ...
Wang, Tingfu, Shi, Zhongrui
core
A Note On The Defininiton of An Orlicz Space
The Orlicz spaces were introduced by Z.W. Birnbaum and W. Orlicz in 1931 as a natural generalization of the classical Lebesgue spaces. For this generalization the function ݔ entering in the definition of Lebesgue's space is replaced by a more general convex function Ф.
openaire +3 more sources
Approximation in weighted Orlicz spaces
Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Akgün, Ramazan, İsrafilov, Daniyal M.
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Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
wiley +1 more source
Admissible strategies in semimartingale portfolio selection [PDF]
The choice of admissible trading strategies in mathematical modelling of financial markets is a delicate issue, going back to Harrison and Kreps [HK79].
Sara Biagini, Ales Cerny
core
Inductive limit topologies on Orlicz spaces [PDF]
summary:Let $L^\varphi $ be an Orlicz space defined by a convex Orlicz function $\varphi $ and let $E^\varphi $ be the space of finite elements in $L^\varphi $ (= the ideal of all elements of order continuous norm). We show that the usual norm topology $\
Nowak, Marian
core
Approximative Compactness in Orlicz Spaces
Let \(M\) be a convex \(N\)-function and let \(\ell^M\) be the Orlicz sequence space with Luxemburg norm, \(L^M\) the Orlicz space with Luxemburg norm or with Orlicz norm of functions over a Lebesgue measurable set \(\Omega\subset \mathbb{R}\) of finite measure. It is proved that \(\ell^M\) is approximatively compact if and only if it is reflexive and \
Hudzik, Henryk, Wang, Baoxiang
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Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley +1 more source
The canonical injection of the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$ [PDF]
21 pagesWe study the canonical injection from the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$
Rodriguez-Piazza, Luis +3 more
core
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth
In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He +3 more
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