3 problems

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Technical nature of the condition $\ell>4$
Let $\ell$ be the parameter appearing in the Grushin problem, and suppose the decay argument imposes the restrictive condition $\ell>4$ . Technical-condition conjecture. The conditi…
Conjectureopenelliptic-pde grushin-operatorsarXiv posted 2 days ago
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The $L^2$ -boundedness conjecture for Grushin pseudo-multipliers
Let $G$ be the Grushin operator, let $\boldsymbol{L}$ and $\boldsymbol{U}$ denote the associated operator-valued spectral variables, and let…
Conjectureopengrushin-operators harmonic-analysis pseudo-differential-operatorsarXiv posted 2 days ago
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The conjecture that Grushin spectral multiplier and Bochner–Riesz estimates hold with topological dimension
Dimension-reduction conjecture. The previous theorems should remain true with $D=d_1+d_2$ in place of $D=\max\{d_1+d_2,2d_2\}$ .
Conjectureopenbochner-riesz-summability grushin-operators spectral-multipliersarXiv posted 2 days ago

Technical nature of the condition ℓ>4\ell>4ℓ>4