Real Hardy space, multidimensional variations, and integrability of the Fourier transform
type: Item
instance of: scholarly article
title: Real Hardy space, multidimensional variations, and integrability of the Fourier transform
author: Laura Angeloni
author: Elijah Liflyand
author: Gianluca Vinti
published in: Complex Analysis and Operator Theory
publication date: 2020-10-12T00:00:00Z
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 26B30
zbMATH DE Number: 7259474
zbMATH Keywords: Fourier transform
zbMATH Keywords: Hilbert transform
zbMATH Keywords: Riesz transform
zbMATH Keywords: bounded variation
zbMATH Keywords: absolute continuity
zbMATH Keywords: Tonelli variation
zbMATH Keywords: Hardy space
MaRDI profile type: Publication
full work available at URL: s11785-020-01021-2
OpenAlex ID: W3048541430
cites work: Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting
cites work: A sufficient condition for the convergence of a certain modulus of smoothness in multidimensional setting
cites work: Convergence in variation and a characterization of the absolute continuity
cites work: Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
cites work: Lectures on Fourier Integrals. (AM-42)
cites work: Q3700300
cites work: Q4286335
cites work: Hardy spaces on the plane and double Fourier transforms.
cites work: Decay of the Fourier Transform
cites work: The convolution algebra \(H^{1}(R)\)
cites work: Interaction between the Fourier transform and the Hilbert transform
cites work: Multiple Fourier transforms and trigonometric series in line with Hardy’s variation
cites work: Functions of bounded variation and their Fourier transforms
cites work: Q5789249
cites work: Q5607484
cites work: Q3349112
DOI: 10.1007/S11785-020-01021-2
description: scientific article; zbMATH DE number 7259474