Properties of the slant weighted Toeplitz operator.
Arora, Subhash Chander, Kathuria, Ritu (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Arora, Subhash Chander, Kathuria, Ritu (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Arora, S.C., Bhola, Jyoti (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Rajeev Kumar (2009)
Matematički Vesnik
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Elke Wolf (2010)
Matematički Vesnik
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Elke Wolf (2011)
Matematički Vesnik
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Mirzakarimi, G., Seddighi, K. (1997)
Georgian Mathematical Journal
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Wolf, Elke (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Stević, Stevo (2009)
Sibirskij Matematicheskij Zhurnal
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Miroslav Englis (2006)
Revista Matemática Complutense
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The standard Berezin and Berezin-Toeplitz quantizations on a Kähler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction basically uses only the fact that these spaces have a reproducing kernel. We explore the possibilities of using other function spaces with reproducing kernels instead, such as L-spaces of harmonic functions, Sobolev spaces, Sobolev spaces...
Issam Louhichi, Fanilo Randriamahaleo, Lova Zakariasy (2014)
Concrete Operators
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One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with it. Here we shall study the commutants of a certain class of quasihomogeneous Toeplitz operators defined on the harmonic Bergman space.
Svantje Janson (1992)
Mathematica Scandinavica
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Emilio Fedele, Alexander Pushnitski (2017)
Concrete Operators
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Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L2(ℝ+). These self-adjoint operators generalise the explicitly diagonalisable operator with the integral kernel sαtα(s + t)-1-2α, where α > -1/2. Our analysis can be considered as an extension of J. Howland’s 1992 paper which dealt with the unweighted case, corresponding to α = 0.
Zegeye, Taddesse, Arora, S.C. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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