Results 81 to 90 of about 2,920 (119)
Averages Along the Primes: Improving and Sparse Bounds
Concrete Operators, 2020 Consider averages along the prime integers ℙ given ...
Han Rui +3 more
doaj +1 more source
Journal of Inequalities and Applications, 2019 Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki +2 more
doaj +1 more source
Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators
Analysis and Geometry in Metric Spaces, 2020 We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G. +1 more
doaj +1 more source
Analysis and Geometry in Metric Spaces, 2020 Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
doaj +1 more source
Remarks on square functions in the Littlewood-Paley theory [PDF]
Bull. Austral. Math. Soc. 58(1998), 199-211, 1998 We prove that certain square function operators in the Littlewood-Paley theory defined by the kernels without any regularity are bounded on Lp spaces.
arxiv
An x-ray estimate in $R^n$ [PDF]
arXiv, 1999 We prove an x-ray estimate in general dimension which is stronger than the Kakeya estimates of Wolff. This generalizes an x-ray estimate in three dimensions which is also due to Wolff.
arxiv
Concerning Nikodym-type sets in 3-dimensional curved spaces [PDF]
Journal American Mathematical Society 12 (1999), 1-31, 1999 We obtain estimates for maximal functions that arise when one studies Nikodym-type sets. We also formulate a curvature condition that allows favorable estimates for these maximal functions.
arxiv
On multidimensional F. Riesz's "Rising Sun" Lemma [PDF]
arXiv, 2003 A multidimensional version of the Riesz rising sun lemma is proved by means of a generalized dyadic process.
arxiv
On modular inequalities in variable L^p spaces [PDF]
arXiv, 2004 We show that the Hardy-Littlewood maximal operator and a class of Calder\'on-Zygmund singular integrals satisfy the strong type modular inequality in variable $L^p$ spaces if and only if the variable exponent $p(x)\sim const$.
arxiv
Some BMO estimates for vector-valued multilinear singular integral operators [PDF]
Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005,
pp. 167-190, 2005 In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular integral operators.
arxiv