slant weighted toeplitz operators

Abstract We relate dual-band general Toeplitz operators to block truncated and, via equivalence after extension, with $$4 \times 4$$ 4 × matrix symbols. discuss their norm, kernel, Fredholmness, invertibility and spectral properties in various situations, focusing on th...

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Cohomology of aff(1|1) acting on the space of bilinear differential operators on the superspace IR1|1

Journal: Caspian Journal of Mathematical Sciences 2020

Ammar Derbali, Imed Basdouri, Mohamed Elkhames Chraygui,

We consider the aff(1)-module structure on the spaces of bilinear diﬀerential operators acting on the spaces of weighted densities. We compute the ﬁrst diﬀerential cohomology of the Lie superalgebra aff(1) with coeﬃcients in space Dλ,ν;µ of bilinear diﬀerential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.

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Toeplitz Operators on the Unit Ball with Locally Integrable Symbols

Journal: :Integral Equations and Operator Theory 2022

Abstract We study the boundedness of Toeplitz operators $$T_\psi $$ T ψ with locally integrable symbols on weighted harmonic Bergman spaces over unit ball $${\mathbb {R}}^n$$ R n . Generaliz...

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