Results 11 to 20 of about 4,926,903 (245)
Groups of isometries on Orlicz spaces [PDF]
Pacific Journal of Mathematics, 1973 1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
Jerome A. Goldstein
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Isometries of Orlicz spaces [PDF]
Bulletin of the American Mathematical Society, 1962 G. Lumer
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CONJUGATE FUNCTIONS IN ORLICZ SPACES [PDF]
Pacific Journal of Mathematics, 1962 Robert D. Ryan
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Analysis of Tempered Fractional Calculus in Hölder and Orlicz Spaces
Symmetry, 2022 Here, we propose a general framework covering a wide variety of fractional operators. We consider integral and differential operators and their role in tempered fractional calculus and study their analytic properties.
H. A. Salem, M. Cichoń
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On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces [PDF]
Mathematische Nachrichten, 2020 Here, we provide a unifying treatment of the convergence of a general form of sampling‐type operators, given by the so‐called sampling Durrmeyer‐type series. The main result consists of the study of a modular convergence theorem in the general setting of
D. Costarelli, Michele Piconi, G. Vinti
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Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 368-381, January 2023., 2023 Abstract Let (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$ be a probability space, ξ be a random variable on (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$, G$\mathcal {G}$ be a sub‐σ‐algebra of F$\mathcal {F}$, and let EG=E(·|G)$\mathbf {E}^\mathcal {G} = \mathbf { E}(\cdot | \mathcal {G})$ be the corresponding conditional expectation operator.
Eugene Shargorodsky, Teo Sharia
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Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces
Constructive Mathematical Analysis, 2021 In this paper, we establish a quantitative estimate for multivariate sampling Kantorovich operators by means of the modulus of continuity in the general setting of Orlicz spaces.
L. Angeloni +4 more
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Proceedings of the American Mathematical Society, 1981 A Banach space X is called flat if there exists a curve on the surface of the unit ball of X with antipodal endpoints and length two. Although one's initial (finite dimensional) reaction to this definition is to question the existence of such spaces, Harrell and Karlovitz ([1] and [2]) have shown that some of the classical Banach spaces are flat; in [2]
Mark A. Smith, A. J. Pach, B. Turett
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Weak compactness and Orlicz spaces [PDF]
Colloquium Mathematicum, 2008 We give new proofs that some Banach spaces have Pe czy ski's property $(V)$.
Lefèvre, Pascal +3 more
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Transference and restriction of Fourier multipliers on Orlicz spaces
Mathematische Nachrichten, Volume 296, Issue 12, Page 5400-5425, December 2023., 2023 Abstract Let G be a locally compact abelian group with Haar measure mG$m_G$ and Φ1,Φ2$\Phi _1,\,\Phi _2$ be Young functions. A bounded measurable function m on G is called a Fourier (Φ1,Φ2)$(\Phi _1,\,\Phi _2)$‐multiplier if Tm(f)(γ)=∫Gm(x)f̂(x)γ(x)dmG(x),$$\begin{equation*}\hskip7pc T_m (f)(\gamma )= \int _{G} m(x) \hat{f}(x) \gamma (x) dm_G(x),\hskip-
Oscar Blasco, Rüya Üster
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