scholarly journals Finite rank sums of products of Toeplitz and Hankel operators

2013 ◽  
Vol 397 (2) ◽  
pp. 503-514 ◽  
Author(s):  
Young Joo Lee
Author(s):  
Takahiko Nakazi ◽  
Tomoko Osawa

LetL2=L2(D,r dr dθ/π)be the Lebesgue space on the open unit disc and letLa2=L2∩ℋol(D)be the Bergman space. LetPbe the orthogonal projection ofL2ontoLa2and letQbe the orthogonal projection ontoL¯a,02={g∈L2;g¯∈La2,   g(0)=0}. ThenI−P≥Q. The big Hankel operator and the small Hankel operator onLa2are defined as: forϕinL∞,Hϕbig(f)=(I−P)(ϕf)andHϕsmall(f)=Q(ϕf)(f∈La2). In this paper, the finite-rank intermediate Hankel operators betweenHϕbigandHϕsmallare studied. We are working on the more general space, that is, the weighted Bergman space.


2015 ◽  
Vol 268 (7) ◽  
pp. 1808-1839 ◽  
Author(s):  
D.R. Yafaev
Keyword(s):  

1996 ◽  
Vol 67 (2) ◽  
pp. 142-149 ◽  
Author(s):  
Elizabeth Strouse
Keyword(s):  

2018 ◽  
Vol 146 (12) ◽  
pp. 5235-5242 ◽  
Author(s):  
Pan Ma ◽  
Fugang Yan ◽  
Dechao Zheng

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