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On the Grushin operator and hyperbolic symmetry

William Beckner

Proceedings of the American Mathematical Society · 2000 · 100 citations · 15 references

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Abstract

Complexity of geometric symmetry for differential operators with mixed homogeniety is examined here. Sharp Sobolev estimates are calculated for the Grushin operator in low dimensions using hyperbolic symmetry and conformal geometry.

References

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Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

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