A generalization of Toeplitz operators on the Bergman space
If μ is a finite measure on the unit disc and k ≥ 0 is an integer, we study a generalization derived from Engliš's work, T<inf>μ</inf>(k) m, of the traditional Toeplitz operators on the Bergman space A2, which are the case k = 0. Among other things, we prove that when μ ≥ 0, these o...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
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Theta Foundation
2015
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
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| 003 | AR-BaUEN | ||
| 005 | 20230518204359.0 | ||
| 008 | 190411s2015 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84929258569 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Suárez, D. | |
| 245 | 1 | 2 | |a A generalization of Toeplitz operators on the Bergman space |
| 260 | |b Theta Foundation |c 2015 | ||
| 270 | 1 | 0 | |m Suárez, D.; Depto. De Matemática, Fac. De Cs. Exactas Y Naturales, Univ. De Buenos Aires, Pab. I, Ciudad Universitaria, (1048), Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Ahern, P., Flores, M., Rudin, W., An invariant volume-mean-value property (1993) J. Funct. Anal., 111, pp. 380-397 | ||
| 504 | |a Berezin, F.A., Covariant and contravariant symbols of operators [Russian] (1972) Izv. Akad. Nauk. USSR Ser. Mat., 6, pp. 1117-1151 | ||
| 504 | |a Berezin, F.A., Quantization in complex symmetric spaces (1975) Izv. Akad. Nauk. USSR Ser. Mat., 9, pp. 341-379 | ||
| 504 | |a Coburn, L.A., A Lipschitz estimate for Berezin's operator calculus (2005) Proc. Amer. Math. Soc., 133, pp. 127-131 | ||
| 504 | |a Engliš, M., Toeplitz operators and group representations (2007) J. Fourier Anal. Appl., 13, pp. 243-265 | ||
| 504 | |a Garnett, J.B., (2007) Bounded Analytic Functions, 236. , Revised first edition, Grad. Texts in Math., Springer, New York | ||
| 504 | |a Mcdonald, G., Sundberg, C., Toeplitz operators on the disc (1979) Indiana Univ. Math. J., 28, pp. 595-611 | ||
| 504 | |a Rudin, W., (1991) Functional Analysis, , 2nd. edition, McGraw-Hill, New York | ||
| 504 | |a Stroethoff, K., Zheng, D., Products of Hankel and Toeplitz operators on the Bergman space (1999) J. Funct. Anal., 169, pp. 289-313 | ||
| 504 | |a Suárez, D., Approximation and symbolic calculus for Toeplitz algebras on the Bergman space (2004) Rev. Mat. Iberoamericana, 20, pp. 563-610 | ||
| 504 | |a Suárez, D., Approximation and the n-Berezin transform of operators on the Bergman space (2005) J. Reine Angew. Math., 581, pp. 175-192 | ||
| 504 | |a Suárez, D., The eigenvalues of limits of radial Toeplitz operators (2008) Bull. London Math. Soc., 40, pp. 631-641 | ||
| 504 | |a Zhu, K., (1990) Operator Theory in Function Spaces, , Marcel Dekker Inc., New York | ||
| 520 | 3 | |a If μ is a finite measure on the unit disc and k ≥ 0 is an integer, we study a generalization derived from Engliš's work, T<inf>μ</inf>(k) m, of the traditional Toeplitz operators on the Bergman space A2, which are the case k = 0. Among other things, we prove that when μ ≥ 0, these operators are bounded if and only if μ is a Carleson measure, they are compact if and only if μ is a vanishing Carleson measure, and we obtain some estimates for their norms. Also, we use these operators to characterize the closure of the image of the Berezin transform applied to the whole operator algebra. © by THETA, 2015. |l eng | |
| 593 | |a Depto. De Matemática, Fac. De Cs. Exactas Y Naturales, Univ. De Buenos Aires, Pab. I, Ciudad Universitaria, (1048), Núñez, Capital Federal, Argentina | ||
| 690 | 1 | 0 | |a BEREZIN TRANSFORM |
| 690 | 1 | 0 | |a BERGMAN SPACE |
| 690 | 1 | 0 | |a TOEPLITZ OPERATORS |
| 773 | 0 | |d Theta Foundation, 2015 |g v. 73 |h pp. 315-332 |k n. 2 |p J. Oper. Theory |x 03794024 |t Journal of Operator Theory | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929258569&doi=10.7900%2fjot.2013nov28.2023&partnerID=40&md5=f852c8ad36ec82530eab3e9b0401137f |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.7900/jot.2013nov28.2023 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03794024_v73_n2_p315_Suarez |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v73_n2_p315_Suarez |y Registro en la Biblioteca Digital |
| 961 | |a paper_03794024_v73_n2_p315_Suarez |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 74544 | ||