Real analysis without using the Hardy–Littlewood maximal operator

DOI10.1090/suga/482OpenAlexW4385810887MaRDI QIDQ6117936

Mitsuo Izuki

Publication date: 21 February 2024

Published in: Sugaku Expositions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/suga/482

zbMATH Keywords

analytic functionHardy-Littlewood maximal operatorsampling theorem\(\varphi\)-transformwavelet theory

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation of generalized Morrey spaces
• A criterion of sampling theorems on Banach function spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers
• Framelet analysis of some geometrical illusions
• Lebesgue and Sobolev spaces with variable exponents
• Theory of Besov spaces
• A discrete transform and decompositions of distribution spaces
• Wavelet characterization of the Bergman space on strip domains
• Optimal domain and integral extension of operators, acting in function spaces
• Theory of function spaces
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• \(H^p\) spaces of several variables
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• On modular inequalities in variable \(L^p\) spaces
• On the existence of certain singular integrals
• On functions of bounded mean oscillation
• On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Wavelet Bases for Microlocal Filtering and the Sampling Theorem inL_p(Rⁿ)∗
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Characterization of analytic functions in terms of their wavelet coefficients
• Some Maximal Inequalities
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Real analysis without using the Hardy–Littlewood maximal operator