Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients
From MaRDI portal
Publication:6082534
DOI10.1007/S00041-023-10039-XzbMath1530.42013arXiv2208.14405OpenAlexW4386856454MaRDI QIDQ6082534
Publication date: 30 November 2023
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.14405
Function spaces arising in harmonic analysis (42B35) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean bounded variation condition and applications in double trigonometric series
- Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
- Trigonometric series with a generalized monotonicity condition
- Multiple trigonometric series with lexicographically monotone coefficients
- Trigonometric series with general monotone coefficients
- Best approximation and moduli of smoothness: Computation and equivalence theorems
- Integrability conditions for the Fourier transform
- Martingale Hardy spaces and their applications in Fourier analysis
- On weighted integrability of double sine series
- A Hardy-Littlewood theorem for multiple series
- Integrability theorems for Fourier series
- Convergence of trigonometric series with general monotone coefficients
- A concept of general monotonicity and applications
- The Rademacher System in Function Spaces
- Inequalities relative to two-parameter Vilenkin-Fourier coefficients
- ON THE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES AND FOURIER SERIES WITH MONOTONE COEFFICIENTS
- Net spaces and inequalities of Hardy-Littlewood type
- NORMS OF DIRICHLET KERNELS AND SOME OTHER TRIGONOMETRIC POLYNOMIALS IN $ L_p$-SPACES
- Some theorems on orthogonal functions (1)
- On the coefficients of multiple Fourier series in $ L_p$-spaces
- On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
- Hardy–Littlewood theorems for trigonometric series with general monotone coefficients
- On Lpintegrability and convergence of trigonometric series
- On the convergence of multiple Fourier series
- ON THE INTEGRABILITY OF FUNCTIONS DEFINED BY TRIGONOMETRIC SERIES
- Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
This page was built for publication: Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients