On the Scalar Curvature of Complex Surfaces.
Extremal Kähler Metrics and Complex Deformation Theory.
Fourier Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
Scalar-flat Kähler surfaces of all genera.
Integral operators and weighted amalgams
For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from into . For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted -spaces. Amalgams of the form , 1 < p,q < ∞ , q ≠ p, , are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.
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