Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Sinnamon, Gord"'
Autor:
Mastyło, Mieczysław, Sinnamon, Gord
A Christ-Kiselev maximal theorem is proved for linear operators between quasi-Banach function lattices satisfying certain lattice geometrical conditions. The result is further explored for weighted Lorentz spaces, classical Lorentz spaces, and Wiener
Externí odkaz:
http://arxiv.org/abs/2401.00119
Publikováno v:
Journal of Functional Analysis Volume 287, Issue 4, 15 August 2024, 110490
Given a measure space and a totally ordered ordered collection of measurable sets, called an ordered core, the notion of a core decreasing function is introduced and used to define the down space of a Banach function space. This is done using a varia
Externí odkaz:
http://arxiv.org/abs/2307.13752
Autor:
Mastyło, Mieczysław, Sinnamon, Gord
Publikováno v:
Proceedings of the American Mathematical Society, 152(2024), 1099-1107
It is shown that if the Fourier transform is a bounded map on a rearrangement-invariant space of functions on $\mathbb R^n$, modified by a weight, then the weight is bounded above and below and the space is equivalent to $L^2$. Also, if it is bounded
Externí odkaz:
http://arxiv.org/abs/2302.07047
Publikováno v:
Mathematical Inequalities and Applications, 25(2022), 21-28
For a large class of operators acting between weighted $\ell^\infty$ spaces, exact formulas are given for their norms and the norms of their restrictions to the cones of nonnegative sequences; nonnegative, nonincreasing sequences; and nonnegative, no
Externí odkaz:
http://arxiv.org/abs/2211.01988
Publikováno v:
In Journal of Functional Analysis 15 August 2024 287(4)
Autor:
Sinnamon, Gord
Publikováno v:
Mathematical Inequalities and Applications, 25(2022), 21-28
The norm of $C-I$ on $\ell^p$, where $C$ is the Ces\`aro operator, is shown to be $1/(p-1)$ when $1
Externí odkaz:
http://arxiv.org/abs/2105.14200
Autor:
Sinnamon, Gord
Publikováno v:
Transactions of the American Mathematical Society, 375(2022), 961-995
A simple normal form for Hardy operators is introduced that unifies and simplifies the theory of weighted Hardy inequalities. A straightforward transition to normal form is given that applies to the various Hardy operators and their duals, whether de
Externí odkaz:
http://arxiv.org/abs/2105.09246
Autor:
Lin, Minghua, Sinnamon, Gord
Publikováno v:
Linear Algebra and its Applications, 606(2020), 192-200
Hadamard's determinant inequality was refined and generalized by Zhang and Yang in [Acta Math. Appl. Sinica 20 (1997) 269-274]. Some special cases of the result were rediscovered recently by Rozanski, Witula and Hetmaniok in [Linear Algebra Appl. 532
Externí odkaz:
http://arxiv.org/abs/2007.13155
Autor:
Kikianty, Eder, Sinnamon, Gord
Publikováno v:
Journal of Mathematical Analysis and Applications, 454(2017), 942-960
Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of norm equivalence. Angularly equivalent norms share certain geometric p
Externí odkaz:
http://arxiv.org/abs/1612.03775
Autor:
Lin, Minghua, Sinnamon, Gord
Publikováno v:
Houston Journal of Mathematics, 44(2018), 607-612
It is shown that if two hyperbolic polynomials have a particular factorization into quadratics, then their roots satisfy a power majorization relation whenever key coefficients in their factorizations satisfy a corresponding majorization relation. In
Externí odkaz:
http://arxiv.org/abs/1610.01449