Schatten- p class (0 < p ≤ ∞) Toeplitz operators on generalized Fock spaces

Verfasser / Beitragende:
[Lian Xiao, Xiao Wang, Jin Xia]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/4(2015-04-01), 703-714
Format:
Artikel (online)
ID: 605461864
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024 7 0 |a 10.1007/s10114-015-3531-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3531-2 
245 0 0 |a Schatten- p class (0 < p ≤ ∞) Toeplitz operators on generalized Fock spaces  |h [Elektronische Daten]  |c [Lian Xiao, Xiao Wang, Jin Xia] 
520 3 |a In this paper, we discuss the Schatten-p class (0 < p ≤ ∞) of Toeplitz operators on generalized Fock space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other. We also get the equivalent conditions when a Toeplitz operator is in the Schatten-p class. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Schatten class  |2 nationallicence 
690 7 |a generalized Fock space  |2 nationallicence 
690 7 |a compact operator  |2 nationallicence 
700 1 |a Xiao  |D Lian  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
700 1 |a Wang  |D Xiao  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
700 1 |a Xia  |D Jin  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 703-714  |x 1439-8516  |q 31:4<703  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3531-2  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3531-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xiao  |D Lian  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wang  |D Xiao  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xia  |D Jin  |u School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, 510006, Guangzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 703-714  |x 1439-8516  |q 31:4<703  |1 2015  |2 31  |o 10114