Boundedness criterion for integral operators on the fractional Fock–Sobolev spaces

Cao, G. F.; He, Li; Ji, Li; Shen, Minxing

doi:10.1007/s00209-022-03050-3

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Cited by 4 publications

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“…. , k n ) runs over all multi-indexes of nonnegative integers (see [2,3] for more details). Direct calculation reveals that the reproducing kernel of F 2,m α is…”

Section: Introductionmentioning

confidence: 99%

Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space

2023

Journal of Mathematics

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In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator S f is bounded if and only if f ∈ L ∞ , and S f = f ∞ . We also obtain that the dual Toeplitz operator with L ∞ symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere.

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“…. , k n ) runs over all multi-indexes of nonnegative integers (see [2,3] for more details). Direct calculation reveals that the reproducing kernel of F 2,m α is…”

Section: Introductionmentioning

confidence: 99%