Results 61 to 70 of about 5,148,140 (146)
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
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The Cesaro Lacunary Ideal Double Sequence Ⲭ2− of φ− Statistical Defined by a Musielak-Orlicz Function [PDF]
, 2016 In this paper we introduce some definitions which are the natural combination of the definition of asymptotic equivalence, statistical convergence, f−statistical convergence of Musielak Orlicz function and ideal.
Priya, C. +2 more
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Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
, 2001 summary:First, we extend the criteria for smooth points of $S(L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_{M})$
Wang, T., Hudzik, H., Wang, L.
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On Some Classes of Double Difference Sequences of Interval Numbers
Abstract and Applied Analysis, 2014 The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz function M=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence ...
S. A. Mohiuddine +2 more
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Minimizers of abstract generalized Orlicz‐bounded variation energy
Mathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri +2 more
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Monotonicity and the Dominated Farthest Points Problem in Banach Lattice
Abstract and Applied Analysis, 2014 We introduce the dominated farthest points problem in Banach lattices. We prove that for two equivalent norms such that X becomes an STM and LLUM space the dominated farthest points problem has the same solution.
H. R. Khademzadeh, H. Mazaheri
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A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains
Mathematische Nachrichten, Volume 297, Issue 9, Page 3184-3191, September 2024.Abstract Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the past decade. One approach involves the generalized inverse of so‐called weak Φ$\Phi$‐functions. It featured prominently in the monograph Orlicz Spaces and Generalized Orlicz Spaces [P. Harjulehto and P. Hästö, Lecture Notes in Mathematics, vol.
Petteri Harjulehto +2 more
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Criteria for $k_M<\infty$ in Musielak-Orlicz spaces
, 2001 summary:In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\}< \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are ...
Cao, Lianying, Wang, Tingfu
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Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
, 1994 summary:There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness.
Zenon Zbaszyniak, Zbąszyniak, Zenon
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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