Results 21 to 30 of about 1,242,956 (315)
Extending the Set of Quadratic Exponential Vectors [PDF]
, 2008 We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by
Accardi, Luigi +2 more
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal of Function Spaces, 2021 Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications
Modelling, 2021 In recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio.
Liyuan Pang +3 more
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On bounded functions with bounded 𝑛th differences [PDF]
Proceedings of the American Mathematical Society, 1959 We consider real valued functions f defined in a closed interval I (bounded or unbounded), with nth differences $$ \Delta _{h}^{n}f(x) = \sum\limits_{i} {{{{( - 1)}}^{{n - i}}}} \left( {\begin{array}{*{20}{c}} n \\ i \\ \end{array} } \right)f(x + ih) $$ bounded for some fixed n.
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Estimates of the Green function for the fractional Laplacian perturbed by gradient [PDF]
, 2011 The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth multidimensional open sets if the drift function is in an appropriate Kato ...
Bogdan, Krzysztof, Jakubowski, Tomasz
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Functions with bounded spectrum [PDF]
Transactions of the American Mathematical Society, 1995 Summary: Let \(0< p\leq \infty\), \(f(x)\in L_p(\mathbb{R}^n)\), and \(\text{supp } Ff\) be bounded, where \(F\) is the Fourier transform. We prove in this paper that the sequence \(|D^\alpha f|^{1/|\alpha|}_p\), \(\alpha\geq 0\), has the same behavior as the sequence \(\sup_{\xi\in \text{supp }Ff} |\xi^{\alpha}|^{1/|\alpha|}\), \(\alpha\geq 0\).
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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On Almost Bounded Functions [PDF]
Transactions of the American Mathematical Society, 1976 New results are presented with regard to the “almost bounded functions” introduced by Goodman [2], including a theorem which contains a proof of Goodman’s conjecture for a particular case.
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On Bounded Analytic Functions [PDF]
Proceedings of the American Mathematical Society, 1950 The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [1] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than of a method, it will be found that the gain in brevity and simplicity of the argument is ...
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