Results 71 to 80 of about 4,655,315 (283)

A NOTE ON THE DEFINITION OF AN ORLICZ SPACE [PDF]

Real Analysis Exchange, 1995
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Darst, Richard B., Zink, Robert E.
openaire   +4 more sources

A New Generalization of Bivariate Sampling Kantorovich Operators and Applications to Image Processing

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15413-15432, 15 November 2025.
ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
wiley   +1 more source

Weak Orlicz-Hardy Martingale Spaces [PDF]

, 2013
In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
core  

Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces [PDF]

Taiwanese journal of mathematics, 2018
We investigate the commutators $[b,I_{\rho}]$ of generalized fractional integral operators $I_{\rho}$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz spaces.
Minglei Shi, Ryutaro Arai, E. Nakai
semanticscholar   +1 more source

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

Composition of Operators in Orlicz Spaces

Rocky Mountain Journal of Mathematics, 2008
In this work we find sharp conditions for boundedness on Orlicz spaces of the composition of $j$ operators, each one being of restricted weak type $(p,p)$ for some $p>1$, and of strong type $(\infty,\infty)$. Particularly, we find necessary and sufficient conditions to obtain modular inequalities for the $j$-times composition of the Cesaro Maximal ...
Bongioanni, B., Harboure, E.
openaire   +3 more sources

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
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

Fractional Maximal Operator in Orlicz spaces

, 2018
We study the fractional maximal operator acting between Orlicz spaces. We characterise whether the operator is bounded between two given Orlicz spaces.
Musil, Vít
core   +1 more source

Generalized Composition Operators on Zygmund-Orlicz Type Spaces and Bloch-Orlicz Type Spaces

Journal of Function Spaces, 2014
The boundedness and compactness of generalized composition operators on Zygmund-Orlicz type spaces and Bloch-Orlicz type spaces are established in this paper.
Congli Yang, Fangwei Chen, Pengcheng Wu
doaj   +1 more source