Vector-valued Hardy spaces from operator theory

1989 ◽  
pp. 52-60
Author(s):  
O. Blasco
Keyword(s):  
Hardy Spaces ◽  
Operator Theory ◽  
Vector Valued

CHARACTERIZATIONS OF A CLASS OF ORTHOGONAL MULTIPLE VECTOR-VALUED WAVELET PACKETS

2008 ◽  
Vol 06 (04) ◽  
pp. 631-641 ◽  
Author(s):  
JIN-CANG HAN ◽  
QING-JIANG CHEN
Keyword(s):  
Operator Theory ◽  
Integral Transformation ◽  
Wavelet Packets ◽  
Orthogonal Bases ◽  
Vector Valued

The notion of multiple vector-valued wavelet packets is introduced. A procedure for constructing the multiple vector-valued wavelet packets is presented. Their characteristics are investigated by means of integral transformation and operator theory, and three orthogonality formulas concerning the multiple vector-valued wavelet packets. Finally, new orthogonal bases of L2(R, Cs × s) are constructed from these multiple vector-valued wavelet packets.

Noncommutative vector-valued symmetric Hardy spaces

2015 ◽  
Vol 59 (11) ◽  
pp. 74-79 ◽  
Author(s):  
K. S. Tulenov
Keyword(s):  
Hardy Spaces ◽  
Vector Valued

scholarly journals Interpolation between vector-valued Hardy spaces

1991 ◽  
Vol 102 (2) ◽  
pp. 331-359 ◽  
Author(s):  
Oscar Blasco ◽  
Quanhua Xu
Keyword(s):  
Hardy Spaces ◽  
Vector Valued

The Information Optimal Algorithm Based on Poly-Scaled Wavelet Wraps and Wavelet Frames with Finite Support

2011 ◽  
Vol 204-210 ◽  
pp. 1759-1762
Author(s):  
Tong Qi Zhang
Keyword(s):  
Multiresolution Analysis ◽  
Operator Theory ◽  
Matrix Theory ◽  
Integral Transform ◽  
Optimal Algorithm ◽  
Higher Dimensions ◽  
Wavelet Frames ◽  
Finite Support ◽  
Multi Scale ◽  
Vector Valued

In this paper, we propose the notion of vector-valued multiresolution analysis and the vector-valued mutivariate wavelet wraps with multi-scale factor of spaceL2(Rn, Cv), which are ge- neralizations of multivariate wavelet wraps. An approach for designing a sort of biorthogonal vec- tor-valued wavelet wraps in higher dimensions is presented and their biorthogonality trait is charac- -terized by virtue of integral transform, matrix theory, and operator theory. Two biorthogonality formulas regarding these wavelet wraps are established.

scholarly journals Toeplitz operators on generalized Bergman-Hardy spaces

2001 ◽  
Vol 88 (1) ◽  
pp. 96
Author(s):  
Wolfgang Lusky
Keyword(s):  
Hardy Spaces ◽  
Toeplitz Operators ◽  
Fock Space ◽  
Bergman Spaces ◽  
Trigonometric Polynomials ◽  
Essential Spectra ◽  
Radial Functions ◽  
Hardy And Bergman Spaces ◽  
Schmidt Operator ◽  
Vector Valued

We study the Toeplitz operators $T_f: H_2 \to H_2$, for $f \in L_\infty$, on a class of spaces $H_2$ which in- cludes, among many other examples, the Hardy and Bergman spaces as well as the Fock space. We investigate the space $X$ of those elements $f \in L_\infty$ with $\lim_j \|T_f-T_{f_j}\|=0$ where $(f_j)$ is a sequence of vector-valued trigonometric polynomials whose coefficients are radial functions. For these $T_f$ we obtain explicit descriptions of their essential spectra. Moreover, we show that $f \in X$, whenever $T_f$ is compact, and characterize these functions in a simple and straightforward way. Finally, we determine those $f \in L_\infty$ where $T_f$ is a Hilbert-Schmidt operator.

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