Results 21 to 30 of about 4,196 (115)
The forgotten parameter in grand Lebesgue spaces
Let ...
Capone C., Fiorenza A.
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A note on boundedness of operators in Grand Grand Morrey spaces
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida +15 more
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Sawyer Duality Principle in Grand Lebesgue Spaces
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Jain P. +3 more
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Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces [PDF]
In this article we generalize the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces instead the classical Lebesgue Spaces. We will distinguish the classical Sobolev's inequality and the so-called trace Sobolev's inequality.
Ostrovsky, E., Rogover, E., Sirota, L.
core
Bayesian inverse ensemble forecasting for COVID‐19
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
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Cpmposed Grand Lebesgue Spaces
In this article we introduce and investigate a new class of rearrangement invariant (r.i.) Banach function spaces, so-called Composed Grand Lebesgue Spaces (CGLS), in particular, Integral Grand Lebesgue Spaces (IGLS), which are some generalizations of known Grand Lebesgue Spaces (GLS). We consider the fundamental functions of CGLS, calculate its Boyd's
Ostrovsky, E., Sirota, L.
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ON BASICITY OF PERTURBED SYSTEM OF EXPONENTS IN GRAND-LEBESGUE SPACES
Summary: This work is dedicated to the study of basicity of perturbed system of exponents \(\left\{e^{i(n - \beta \operatorname{sign}n)t}\right\}_{n\in \mathbb Z}\) in grand-Lebesgue spaces \(L_{p)}(-\pi, \pi)\), where \(\beta\) is a complex parameter.
Ismailov, Migdad I. +2 more
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A goodness‐of‐fit test for regression models with discrete outcomes
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
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Covariation inequality in Grand Lebesgue Spaces
We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem with fundamental function for correspondent rearrangement invariant spaces.
Ostrovsky, E., Sirota, L.
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On basicity of exponential and trigonometric systems in grand Lebesgue spaces
Basis properties of exponential and trigonometric systems in grand Lebesgue spaces $ L_{p)} (-\pi,\pi) $ are studied. Based on a shift operator, we consider the subspace $G_{p)} (-\pi,\pi)$ of the space $ L_{p)} (-\pi,\pi) $, where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved.
Migdad ISMAİLOV +3 more
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