Results 21 to 30 of about 2,532 (218)
Generalized Grand Lebesgue Spaces Associated to Banach Function spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces.
Alireza Bagheri Salec +2 more
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Variable Lebesgue norm estimates for BMO functions [PDF]
Czechoslovak Mathematical Journal, 2012 Let \(f\in L^1_{\text{loc}}(\mathbb R^n)\), \(Q\) be a cube in \(\mathbb R^n\) and \(| Q| \) be the Lebesgue measure of \(Q\). Then \(f_Q=| Q| ^{-1}\int _Qf(t)\,dt\) and \(\| f\| _{\text{BMO}}=\sup \limits _Q| f-f_Q| _Q\). If \(\| f\| _{\text{BMO}}
Izuki, Mitsuo, Sawano, Yoshihiro
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Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2015 Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen. The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M ...
Guanghui Lu, Shuangping Tao
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Lebesgue Measurable Function In Fractional Differential Equations
Journal of Kufa for Mathematics and Computer, 2011 Bassam, M.A. [1], proved some existence and uniqueness theorems for the following fractional linear differential equation.
Sabah Mahmood Shaker
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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mathematics, 2022 In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones.
Mohsen Soltanifar
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Complex convexity in Lebesgue-Bochner Function Spaces [PDF]
Transactions of the American Mathematical Society, 1996 Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in real Banach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space X X to L p ( μ , X ...
Dowling, Patrick N. +2 more
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Ural Mathematical Journal, 2023 We consider a variant \(E_{n,k}(N;r,r;p,p)\) of the four-parameter Stechkin problem \(E_{n,k}(N;r,s;p,q)\) on the best approximation of differentiation operators of order \(k\) on the class of \(n\) times differentiable functions ...
Vitalii V. Arestov
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Generalization of one theorem of F. Riesz to some other spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 It is known from the analysis course that in order a function to serve as an undefined integral of a summable function, it is necessary and sufficient that it be absolutely continuous. Therefore, it is natural to raise the question of the characteristic
S. Bitimkhan, D.T. D.T.
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.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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The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V. +2 more
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