A note on weighted composition operators on the weighted Bergman space

Verfasser / Beitragende:
[Lian Zhao, Sheng Hou]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/6(2015-06-01), 947-952
Format:
Artikel (online)
ID: 605461120
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024 7 0 |a 10.1007/s10114-015-4473-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4473-4 
245 0 2 |a A note on weighted composition operators on the weighted Bergman space  |h [Elektronische Daten]  |c [Lian Zhao, Sheng Hou] 
520 3 |a This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product. 
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 Weighted Bergman space  |2 nationallicence 
690 7 |a weighted composition operator  |2 nationallicence 
690 7 |a boundedness  |2 nationallicence 
690 7 |a finite Blaschke product  |2 nationallicence 
700 1 |a Zhao  |D Lian  |u School of Mathematics and Computer Science, Shanxi Normal University, 041004, Linfen, P. R. China  |4 aut 
700 1 |a Hou  |D Sheng  |u School of Mathematics Science, Soochow University, 215000, Suzhou, 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 31/6(2015-06-01), 947-952  |x 1439-8516  |q 31:6<947  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4473-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
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/s10114-015-4473-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhao  |D Lian  |u School of Mathematics and Computer Science, Shanxi Normal University, 041004, Linfen, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hou  |D Sheng  |u School of Mathematics Science, Soochow University, 215000, Suzhou, 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 31/6(2015-06-01), 947-952  |x 1439-8516  |q 31:6<947  |1 2015  |2 31  |o 10114