All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 6 Next

Displaying 101 – 120 of 165

Showing per page

Pointwise estimates for the weighted Bergman projection kernel in ℂ n , using a weighted L 2 estimate for the ∂ ¯ equation

Henrik Delin (1998)

Annales de l'institut Fourier

Weighted L 2  estimates are obtained for the canonical solution to the ∂ ‾ equation in L 2 ( ℂ n , e - φ d λ ) , where Ω is a pseudoconvex domain, and φ is a strictly plurisubharmonic function. These estimates are then used to prove pointwise estimates for the Bergman projection kernel in L 2 ( ℂ n , e - φ d λ ) . The weight is used to obtain a factor e - ϵ ρ ( z , ζ ) in the estimate of the kernel, where ρ is the distance function in the Kähler metric given by the metric form i ∂ ∂ ‾ φ .

Remarks on the proof of a generalized Hartogs Lemma

Evgeni Chirka, Jean Pierre Rosay (1998)

Annales Polonici Mathematici

This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.

Currently displaying 101 – 120 of 165