Michael G. Cowling, Alessio Martini, Detlef Müller, Javier Parcet
Published 2018-07-12Version 1
We prove several results about the best constants in the Hausdorff-Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.
Lp Fourier multipliers on compact Lie groups
Global functional calculus for operators on compact Lie groups
Sharp Garding inequality on compact Lie groups
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