2 problems

Sharp uniform resolvent estimate outside the uniform boundedness range
Sharp resolvent conjecture. If $(\frac1p,\frac1q)\in\mathcal R_0\setminus([B,E]\cup[B',E']\cup[D,C)\cup[D',C))$ , then
openfourier-analysis harmonic-analysis resolvent-estimates
0 responses
05
The optimal uniform $L^p$ resolvent region conjecture on the torus
Optimal resolvent-region conjecture. For every $\varepsilon > 0$ , there is a constant $C_{\varepsilon}$ such that, whenever $z \in \mathcal{R}_{\mathrm{opt}}$ ,
openharmonic-analysis resolvent-estimates tori
0 responses
05

Sharp uniform resolvent estimate outside the uniform boundedness range