scholarly journals Essential norm of substitution vector-valued integral operator on L1(Σ) space

2017 ◽  
Vol 448 (2) ◽  
pp. 1413-1418
Author(s):  
Zahra Moayyerizadeh
Keyword(s):  
Integral Operator ◽  
Essential Norm ◽  
Vector Valued

scholarly journals Integral operator acting on weighted Dirichlet spaces to Morrey type spaces

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3723-3736
Author(s):  
Liu Yang
Keyword(s):  
Integral Operator ◽  
Carleson Measure ◽  
Integral Operators ◽  
Essential Norm ◽  
Dirichlet Spaces ◽  
Type Spaces ◽  
Weighted Dirichlet Spaces

In this paper, we studied the boundedness and compactedness of integral operators from weighted Dirichlet spaces DK to Morrey type spaces H2K. Carleson measure and essential norm were also considered.

VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES OF INTEGRABLE FUNCTIONS AND MERCER THEOREM

2006 ◽  
Vol 04 (04) ◽  
pp. 377-408 ◽  
Author(s):  
CLAUDIO CARMELI ◽  
ERNESTO DE VITO ◽  
ALESSANDRO TOIGO
Keyword(s):  
Integral Operator ◽  
Hilbert Spaces ◽  
Spectral Decomposition ◽  
Reproducing Kernel ◽  
Reproducing Kernel Hilbert Spaces ◽  
Integrable Functions ◽  
Kernel Hilbert Spaces ◽  
Vector Valued

We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2, we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel, extending the Mercer theorem.

scholarly journals A substitution vector-valued integral operator

2015 ◽  
Vol 431 (2) ◽  
pp. 812-821 ◽  
Author(s):  
H. Emamalipour ◽  
M.R. Jabbarzadeh ◽  
Z. Moayyerizadeh
Keyword(s):  
Integral Operator ◽  
Vector Valued
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