|
|||||
|
|
Fourier Multipliers and Littlewood‐Paley for modulation spaces |
|
| Authors: | Parasar Mohanty Saurabh Shrivastava |
| Institution: | 1. Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur‐208016, India;2. Department of Mathematics, Indian Institute of Science Education and Research, Bhopal‐462023, India |
| Abstract: | In this paper we have studied Fourier multipliers and Littlewood‐Paley square functions in the context of modulation spaces. We have also proved that any bounded linear operator from modulation space  into itself possesses an l2‐valued extension. This is an analogue of a well known result due to Marcinkiewicz and Zygmund on classical  ‐spaces. |
| Keywords: | Modulation spaces Fourier multipliers Littlewood‐Paley operators 42A45 42B15 42B25 42B35 |