Timeline for L^{p} multiplier sets
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Feb 1, 2010 at 5:59 | history | edited | Yemon Choi | CC BY-SA 2.5 |
fixed LaTeX
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| Oct 31, 2009 at 3:26 | vote | accept | Mark Lewko | ||
| Oct 31, 2009 at 3:25 | comment | added | Mark Lewko | Thanks! It turns out that the proof follows easily from Bourgain's \Lambda(p) set construction. Let E be a strict \Lambda(p) set. Clearly E is a is a L^{p} multiplier, since ||Tf||_{p} << ||f||_{2} << ||f||_{p}. Conversely, if E was a L^{p+\epsilon} multiplier, we can show it must be a \Labmda(p+\epsilon') set by interpolating the estimates ||Tf||_{p} << ||f||_{2} with ||Tf||_{p+\epsilon} << ||f||_{p+\epsilon}. It was this last step that I was missing. | |
| Oct 31, 2009 at 2:32 | history | answered | michael lacey | CC BY-SA 2.5 |