Browsing Harmonic Analysis by Title
Now showing items 91100 of 100

Variation bounds for spherical averages
(20210622)We consider variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates 
Vectorvalued extensions for fractional integrals of Laguerre expansions
(2018)We prove some vectorvalued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^pL^q$ vectorvalued extensions, in a multidimensional ... 
Vectorvalued operators, optimal weighted estimates and the $C_p$ condition
(201809)In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ... 
Walter Rudin meets Elias M. Stein
(2023)Walter Rudin and Elias M. Stein were giants in the world of mathemat ics. They were loved and admired from students and researchers to teachers and academics, both young and old. They touched many of us through ... 
Weak and strong $A_p$$A_\infty$ estimates for square functions and related operators
(201707)We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main new result is the optimal bound $[w]_{A_p} ... 
Weaktype maximal function estimates on the infinitedimensional torus
(202307)We prove necessary and sufficient conditions for the weak $L^p$ boundedness, for $p\in (1,\infty)$, of a maximal operator on the infinitedimensional torus. In the endpoint case $p=1$ we obtain the same weaktype inequality ... 
Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces
(20230501)In this paper we prove sharp weighted BMO estimates for singular integrals, and we show how such estimates can be extrapolated to Banach function spaces. 
Weighted Lorentz spaces: Sharp mixed A<inf>p</inf> − A<inf>∞</inf> estimate for maximal functions
(20230315)We prove the sharp mixed Ap−A∞ weighted estimate for the HardyLittlewood maximal function in the context of weighted Lorentz spaces, namely [Formula presented] where [Formula presented]. Our method is rearrangement free ... 
Weighted mixed weaktype inequalities for multilinear operators
(2017)In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main ... 
Weighted norm inequalities for rough singular integral operators
(20180817)In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n1})$ and the BochnerRiesz multiplier at the critical index ...