Banach algebra of the Fourier multipliers on weighted Banach function spaces
Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ). An important consequence of the continuous embedding MX,w(ℝ)...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-03-01
|
| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0001/conop-2015-0001.xml?format=INT |