Results 21 to 30 of about 1,239,655 (312)

BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

open access: yesJournal 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
doaj   +1 more source

Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications

open access: yesModelling, 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
doaj   +1 more source

On bounded functions with bounded 𝑛th differences [PDF]

open access: yesProceedings 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.
openaire   +2 more sources

Slice holomorphic functions in the unit ball: boundedness of $L$-index in a direction and related properties

open access: yesМатематичні 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
doaj   +1 more source

Extending the Set of Quadratic Exponential Vectors [PDF]

open access: yes, 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
core   +2 more sources

Functions with bounded spectrum [PDF]

open access: yesTransactions 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 \(\sup_{\xi\in \text{supp }Ff} |\xi^{\alpha}|^{1/|\alpha|}\), \(\alpha\geq 0\).
openaire   +2 more sources

Entire Bivariate Functions of Exponential Type II

open access: yesМатематичні 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
doaj   +1 more source

On Almost Bounded Functions [PDF]

open access: yesTransactions 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.
openaire   +2 more sources

On Bounded Analytic Functions [PDF]

open access: yesProceedings 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 ...
openaire   +2 more sources

Legendre Wavelet expansion of functions and their Approximations

open access: yesRatio Mathematica, 2019
In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis.
Indra Bhan, Lal Shyam, Lal Shyam
doaj   +1 more source

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