On the universal function for the class \(L^{p}[0,1]\), \(p\in (0,1)\)
From MaRDI portal
Publication:255882
DOI10.1016/J.JFA.2016.02.021zbMath1333.42049OpenAlexW2289745494MaRDI QIDQ255882
Martin G. Grigoryan, Artsrun Sargsyan
Publication date: 9 March 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2016.02.021
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items (25)
On unconditional and absolute convergence of the Haar series in the metric of \(L^p[0,1\) with \(0<p<1 \)] ⋮ The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$ ⋮ Approximations in \(L^1\) with convergent Fourier series ⋮ Universal function for a weighted space \(L^1_{\mu}[0,1\)] ⋮ On the universal functions ⋮ On Fourier series almost universal in the class of measurable functions ⋮ Functions, universal with respect to the classical systems ⋮ On the existence and structure of universal functions for weighted spaces \(L^1_\mu [0,1\)] ⋮ On almost universal double Fourier series ⋮ On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Functions with universal Fourier-Walsh series ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Functions universal with respect to the Walsh system ⋮ On the existence and structure of universal functions ⋮ Quasiuniversal Fourier-Walsh series for the classes \(L^p[0, 1\), \(p > 1\)] ⋮ On the Convergence of Bochner-Riesz’s Spherical Means of Fourier Double Integrals ⋮ Unnamed Item ⋮ Universal Fourier series ⋮ On the structure of universal functions for classes $L^p[0,1)^2$, $p\in(0,1)$, with respect to the double Walsh system ⋮ Functions universal with respect to the trigonometric system ⋮ On Fourier series that are universal modulo signs ⋮ Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system ⋮ On the structure of functions, universal for weighted spaces \(L_\mu ^p\left[ {0,1} \right,p > 1\)] ⋮ On universal Fourier series in the Walsh system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of universal series by trigonometric system
- On orthogonal series universal in \(L^p_{[0,1},p>0\)]
- A series by Walsh system universal in weighted \(L_\mu^1[0,1\) spaces]
- On null-series by double Walsh system
- Sequences of derivatives and normal families
- THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
- REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES IN THE FABER-SCHAUDER SYSTEM, AND UNIVERSAL SERIES
- On the representation of functions by orthogonal series in weighted $L^p$ spaces
- On Walsh series with monotone coefficients
- REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)
This page was built for publication: On the universal function for the class \(L^{p}[0,1]\), \(p\in (0,1)\)
