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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 37 - 44 (8page)
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We will prove size estimates of the Bergman kernel for the generalized Fock space Fφ2, where φ belongs to the class W. The main tool for the proof is to use the estimate on the canonical solution to the ∂ ̄-equation. We use Delin’s weighted L2-estimate ([3], [6]) for it.
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참고문헌 (10)
참고문헌 신청
B. Berndtsson / 1999 / Weighted estimates for the ∂-equation, Complex analysis and geometry (Columbus, OH, 1999) / Ohio State Univ. Math. Res. Inst. Publ 9 : 43 ~ 57
H. Arroussi / 2015 / Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces / J. Geom. Anal 25 (4) : 2284 ~ 2312
H. Delin / 1998 / Pointwise estimates for the weighted Bergman projection kernel in Cn using a weighted L2 estimate for the @ equation / Ann. Inst. Fourier (Grenoble) 48 (4)
J. Marzo / 2009 / Pointwise estimates for the Bergman kernel of the weighted Fock space / J. Geom. Anal 19 : 890 ~ 910
M. Pavlovi c / 2008 / An equivalence for weighted integrals of an analytic func-tion and its derivative / Math. Nachr 281 : 1612 ~ 1623
H. Arroussi / 2015 / Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces / J. Geom. Anal 25 (4) : 2284 ~ 2312
H. Delin / 1998 / Pointwise estimates for the weighted Bergman projection kernel in Cn using a weighted L2 estimate for the @ equation / Ann. Inst. Fourier (Grenoble) 48 (4)
J. Marzo / 2009 / Pointwise estimates for the Bergman kernel of the weighted Fock space / J. Geom. Anal 19 : 890 ~ 910
M. Pavlovi c / 2008 / An equivalence for weighted integrals of an analytic func-tion and its derivative / Math. Nachr 281 : 1612 ~ 1623
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