Complex symmetric differential operators on Fock space
نویسندگان
چکیده
منابع مشابه
Boundedness and Compactness of Operators on the Fock Space
We obtain sufficient conditions for a densely-defined operator on the Fock space to be bounded or compact. Under the boundedness condition we then characterize the compactness of the operator in terms of its Berezin transform.
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We obtain new and simple characterizations for the boundedness and compactness of weighted composition operators on the Fock space over C. We also describe all weighted composition operators that are normal or isometric.
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Let f and g be functions, not identically zero, in the Fock space F 2 α of C. We show that the product TfTg of Toeplitz operators on F 2 α is bounded if and only if f(z) = e q(z) and g(z) = ce−q(z), where c is a nonzero constant and q is a linear polynomial.
متن کاملkTH-ORDER SLANT TOEPLITZ OPERATORS ON THE FOCK SPACE
The notion of slant Toeplitz operators Bφ and kth-order slant Toeplitz operators B φ on the Fock space is introduced and some of its properties are investigated. The Berezin transform of slant Toeplitz operator Bφ is also obtained. In addition, the commutativity of kth-order slant Toeplitz operators with co-analytic and harmonic symbols is discussed.
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Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2018
ISSN: 0022-0396
DOI: 10.1016/j.jde.2018.06.003