Zobrazeno 1 - 10
of 147
pro vyhledávání: '"secondary: 46e30"'
In this paper, we first introduce $\mathbb{L}$-$\mu$-measurable functions and $\mathbb{L}$-Bochner integrable functions on a finite measure space $(S,\mathcal{F},\mu),$ and give an $\mathbb{L}$-valued analogue of the canonical $L^{p}(\Omega,\mathcal{
Externí odkaz:
http://arxiv.org/abs/2409.06279
For a measurable space $(X,\mathcal{A})$, let $\mathcal{M}^+(X,\mathcal{A})$ be the commutative semiring of non-negative real-valued measurable functions with pointwise addition and pointwise multiplication. We show that there is a lattice isomorphis
Externí odkaz:
http://arxiv.org/abs/2408.10221
Autor:
Nieraeth, Zoe
The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, and pose several
Externí odkaz:
http://arxiv.org/abs/2405.20907
Autor:
Datt, Gopal, Bajaj, Daljeet Singh
The aim of this article is to detect the ascent and descent of weighted composition operators on Lorentz spaces. We investigate the conditions on the measurable transformation $T$ and the complex-valued measurable function $u$ defined on measure spac
Externí odkaz:
http://arxiv.org/abs/2404.16491
Autor:
Huang, Yi C., Luo, Sijie
Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in H\"older inequality for the weak Schatten classes of compact operators. In this note we observe that these constants, by introducing the modified weak Schatte
Externí odkaz:
http://arxiv.org/abs/2403.17990
Autor:
Buterus, Paul, Sambale, Holger
We investigate the relation between moments and tails of heavy-tailed (in particular, Pareto-type) distributions. We also discuss the sharpness of our results in a number of examples under certain regularity conditions like log-convexity. Moreover, w
Externí odkaz:
http://arxiv.org/abs/2308.14410
Autor:
Vasin, Andrei
A variant of the global $T(1)$ criterion to characterize the bounded Calder\'{o}n--Zygmund operators on BMO($\mathbb{R}^d$) is proved. We apply it to the certain Calder\'on commutators.
Comment: 12
Comment: 12
Externí odkaz:
http://arxiv.org/abs/2308.10887
We consider a general collection of function classes on the interval $[0,1]$ defined in terms of certain averages and show that monotone rearrangement does not increase the class constant in each case. The formulation includes BMO and $A_2$ with a sp
Externí odkaz:
http://arxiv.org/abs/2306.16690
This work studies optimal polynomial approximants (OPAs) in the classical Hardy spaces on the unit disk, $H^p$ ($1 < p < \infty$). In particular, we uncover some estimates concerning the OPAs of degree zero and one. It is also shown that if $f \in H^
Externí odkaz:
http://arxiv.org/abs/2305.16068
In this paper we prove the boundedness of the Gaussian Riesz potentials $I_{\beta}$, for $\beta\geq 1$ on $L^{p(\cdot)}(\gamma_d)$, the Gaussian variable Lebesgue spaces under a certain additional condition of regularity on $p(\cdot)$ following \cite
Externí odkaz:
http://arxiv.org/abs/2208.11864