| Autor: |
R. L. Johnson, C. R. Warner |
| Jazyk: |
angličtina |
| Rok vydání: |
2010 |
| Předmět: |
|
| Zdroj: |
Journal of Function Spaces and Applications, Vol 8, Iss 2, Pp 167-179 (2010) |
| Druh dokumentu: |
article |
| ISSN: |
0972-6802 |
| DOI: |
10.1155/2010/524036 |
| Popis: |
H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}. We introduce a Banach algebra Q that properly lies between H1 and L1, and use it to show that c(1 + ln n) ≤ ||vn||H1 ≤ Cn1/2. We identify the maximal ideal space of H1 and give the appropriate version of Wiener's Tauberian theorem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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