2 problems
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Müller–Thiele–Vallarino endpoint conjecture for wave estimates on Damek–Ricci spaces
Müller–Thiele–Vallarino endpoint conjecture. The Sobolev estimate for solutions to the wave equation on a Damek–Ricci space remains valid at both endpoint regularity exponents abov…
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Rigidity conjecture for conformal vector fields on Damek–Ricci spaces
Let be a Damek–Ricci space, and call a conformal vector field nontrivial if it is not a Killing vector field. Rigidity conjecture. No nontrivial conformal vector fields exist o…