scholarly journals Carleson Measures, Riemann–Stieltjes and Multiplication Operators on a General Family of Function Spaces

2014 ◽  
Vol 78 (4) ◽  
pp. 483-514 ◽  
Author(s):  
Jordi Pau ◽  
Ruhan Zhao
Keyword(s):  
Function Spaces ◽  
Carleson Measures ◽  
Multiplication Operators ◽  
General Family

scholarly journals Moment Problems in Hereditary Function Spaces

2019 ◽  
Vol 6 (1) ◽  
pp. 64-75
Author(s):  
Florian-Horia Vasilescu
Keyword(s):  
Dimensional Stability ◽  
Function Spaces ◽  
Vector Spaces ◽  
Multiplication Operators ◽  
Moment Problems ◽  
Hereditary Function

Abstract We introduce a concept of hereditary set of multi-indices, and consider vector spaces of functions generated by families associated to such sets of multi-indices, called hereditary function spaces. Existence and uniquenes of representing measures for some abstract truncated moment problems are investigated in this framework, by adapting the concept of idempotent and that of dimensional stability, and using some techniques involving C*-algebras and commuting self-adjoint multiplication operators.

Multiplication Operators on Invariant Subspaces of Function Spaces

2013 ◽  
Vol 33 (5) ◽  
pp. 1463-1470 ◽  
Author(s):  
B. YOUSEFI ◽  
Sh. KHOSHDEL ◽  
Y. JAHANSHAHI
Keyword(s):  
Invariant Subspaces ◽  
Function Spaces ◽  
Multiplication Operators
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