The Green functions for weighted biharmonic operators of the form Δw-1Δ in the unit disk

Journal of Mathematical Sciences

Volumn 92, Issue 6, 1998, Pages 4404-4411

  Shimorin, S M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649085005     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02433445     Document Type: Article

References (6)

1. H. Hedenmalm, "A factorization theorem for square area-integrable analytic functions," J. Reine Angew. Math., 422, 45-68 (1991).
2. P. Duren, D. Khavinson, H. S. Shapiro, and C. Sundberg, "Contractive zero-divisors in Bergman spaces," Pacific J. Math., 157, No. 1, 37-56 (1993).
3. -2αΔ, with α > -1," Duke Math. J., 75, 51-78 (1994).
4. -αΔ and factor-ization of analytic functions," Zap. Nauchn. Sem. POMI, 222, 203-221 (1995).
5. H. Hedenmalm, "Boundary value problems for weighted biharmonic operators," Algebra Analiz, to appear.
6. S. M. Shimorin, "Single-point extremal functions in weighted Bergman spaces," J. Math. Sci., 80, No. 6, 2349-2356 (1996).