scholarly journals Vector-valued extensions for fractional integrals of Laguerre expansions

2018 ◽  
Vol 240 (1) ◽  
pp. 69-99 ◽  
Author(s):  
Óscar Ciaurri ◽  
Luz Roncal
Keyword(s):  
Fractional Integrals ◽  
Laguerre Expansions ◽  
Vector Valued

Vector-valued inequalities for the commutators of fractional integrals with rough kernels

2014 ◽  
Vol 222 (2) ◽  
pp. 97-122 ◽  
Author(s):  
Yanping Chen ◽  
Xinfeng Wu ◽  
Honghai Liu
Keyword(s):  
Fractional Integrals ◽  
Rough Kernels ◽  
Vector Valued

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

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