QP-SPACES: GENERALIZATIONS TO BOUNDED SYMMETRIC DOMAINS

2006 ◽  
Author(s):  
MIROSLAV ENGLIŠ
Keyword(s):  
Bounded Symmetric Domains ◽  
Qp Spaces

scholarly journals Qp-spaces on bounded symmetric domains

2008 ◽  
Vol 6 (3) ◽  
pp. 205-240 ◽  
Author(s):  
Jonathan Arazy ◽  
Miroslav Engliš
Keyword(s):  
Unit Disc ◽  
Invariant Function ◽  
Function Spaces ◽  
Higher Order ◽  
Bounded Symmetric Domains ◽  
Bloch Spaces ◽  
Qp Spaces

We generalize the theory ofQpspaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains inCd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.

scholarly journals Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Harald Upmeier
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Bounded Symmetric Domains

AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$ D = G / K , for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$ r = rank ( D ) .

scholarly journals REGULAR FUNCTIONS ON THE SHILOV BOUNDARY

2005 ◽  
Vol 04 (06) ◽  
pp. 613-629 ◽  
Author(s):  
OLGA BERSHTEIN
Keyword(s):  
Symmetric Domain ◽  
Principal Series ◽  
Bounded Symmetric Domain ◽  
Bounded Symmetric Domains ◽  
Shilov Boundary ◽  
Generators And Relations ◽  
Regular Functions ◽  
Degenerate Principal Series

In this paper a *-algebra of regular functions on the Shilov boundary S(𝔻) of bounded symmetric domain 𝔻 is constructed. The algebras of regular functions on S(𝔻) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harish–Chandra modules related to S(𝔻) = Un is investigated.

Harmonic maps of bounded symmetric domains

1995 ◽  
Vol 303 (1) ◽  
pp. 417-433 ◽  
Author(s):  
Y. L. Xin
Keyword(s):  
Harmonic Maps ◽  
Bounded Symmetric Domains

scholarly journals Rawnsley’s ε-function on some Hartogs type domains over bounded symmetric domains and its applications

2019 ◽  
Vol 135 ◽  
pp. 187-203 ◽  
Author(s):  
Enchao Bi ◽  
Zhiming Feng ◽  
Guicong Su ◽  
Zhenhan Tu
Keyword(s):  
Bounded Symmetric Domains
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