Abstract:
We give the restriction of the Fourier transform to a conical surface
with the weak type estimates for cone multipliers on the Hardy space. We
show sharp analysis and boundedness of Bergman projections on tube
domains over light cones. We also show the bilinear approach to cone
multipliers with some sharp bounds for the cone multiplier on negative
order in The three related problems of Bergman spaces of certain tube
domains over symmetric cones are considered. An improvements in
Wolff's inequality and plate decompositions of cone multipliers are
presented .
