A method of approximating functions in \(H^ p\), \(0<p\leq 1\) (Q1907448)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A method of approximating functions in \(H^ p\), \(0 |
scientific article; zbMATH DE number 846518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method of approximating functions in \(H^ p\), \(0<p\leq 1\) |
scientific article; zbMATH DE number 846518 |
Statements
A method of approximating functions in \(H^ p\), \(0<p\leq 1\) (English)
0 references
21 February 1996
0 references
Let \(f(z)= \sum^\infty_{k= 0} c_k z^k\) be a function in the Hardy class \(H^p\), \(0< p\leq 1\). The author suggests a summability method for the Fourier series \(\sum^\infty_{k= 0} c_k e^{ikt}\) which gives the convergence to \(f(e^{it})\). The method works for all values of \(p\).
0 references
