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We study Toeplitz operators $T_\nu$ on generalized Fock spaces $F^2_\phi$ with a locally finite positive Borel measures $\nu$ as symbols. We characterize operator-theoretic properties (boundedness and compactness) of $T_\nu$ in terms of the Fock-Carleson measure and the Berezin transform $\widetilde\nu$.
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참고문헌 (10)
참고문헌 신청
M. Christ / 1991 / On the ∂ equation in weighted L2 norms in C / J. Geom. Anal 1(3):193~230
O. Constantin / 2011 / Some spectral properties of the canonical solution operator to ∂ on weighted Fock spaces / J. Math. Anal. Appl 377(1):353~361
O. Constantin / Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces / Available at arXiv:1304.7501v2
J. Isralowitz / 2010 / Toeplitz operators on the Fock space / Integral Equations Op-erator Theory 66(4):593~611
N. Marco / 2003 / Interpolating and sampling sequences for entire functions / Geom. Funct. Anal 13(4):862~914
O. Constantin / 2011 / Some spectral properties of the canonical solution operator to ∂ on weighted Fock spaces / J. Math. Anal. Appl 377(1):353~361
O. Constantin / Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces / Available at arXiv:1304.7501v2
J. Isralowitz / 2010 / Toeplitz operators on the Fock space / Integral Equations Op-erator Theory 66(4):593~611
N. Marco / 2003 / Interpolating and sampling sequences for entire functions / Geom. Funct. Anal 13(4):862~914
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