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Special Toeplitz operators on strongly pseudoconvex domains.

Zeljko Cuckovic; Jeffery D. McNeal — 2006

Revista Matemática Iberoamericana

Toeplitz operators on strongly pseudoconvex domains in C, constructed from the Bergman projection and with symbol equal to a positive power of the distance to the boundary, are considered. The mapping properties of these operators on L, as the power of the distance varies, are established.

Analytic inversion of adjunction: $L^{2}$ extension theorems with gain

Jeffery D. McNeal; Dror Varolin — 2007

Annales de l’institut Fourier

We establish new results on weighted $L^{2}$ -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.

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Special Toeplitz operators on strongly pseudoconvex domains.

Analytic inversion of adjunction: L 2 extension theorems with gain

Analytic inversion of adjunction: $L^{2}$ extension theorems with gain