Radius of Convexity for Some Integral Operators on Function Spaces

2019 ◽  
Vol 43 (6) ◽  
pp. 3029-3035
Author(s):  
Parvaneh Najmadi ◽  
Shahram Najafzadeh ◽  
Ali Ebadian
Keyword(s):  
Integral Operators ◽  
Function Spaces ◽  
Radius Of Convexity

Integral Operators in Non-Standard Function Spaces

2016 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Humberto Rafeiro ◽  
Stefan Samko
Keyword(s):  
Integral Operators ◽  
Function Spaces ◽  
Standard Function

Fractional type Marcinkiewicz integral operators on function spaces

2015 ◽  
Vol 27 (5) ◽  
Author(s):  
Qingying Xue ◽  
Kôzô Yabuta ◽  
Jingquan Yan
Keyword(s):  
Integral Operators ◽  
Function Spaces ◽  
Marcinkiewicz Integral ◽  
Fractional Type

AbstractIn this paper, we discussed about the boundedness of the fractional type Marcinkiewicz integral operators, and improved a result given by Chen, Fan and Ying in 2002. They showed that under certain conditions the fractional type Marcinkiewicz integral operators are bounded from the Triebel–Lizorkin spaces

scholarly journals A Korovkin theorem in multivariate modular function spaces

2009 ◽  
Vol 7 (2) ◽  
pp. 105-120 ◽  
Author(s):  
Carlo Bardaro ◽  
Ilaria Mantellini
Keyword(s):  
Orlicz Spaces ◽  
Integral Operators ◽  
Modular Function ◽  
Function Spaces ◽  
Korovkin Theorem ◽  
Modular Function Spaces

In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.

Integral Operators in Non-Standard Function Spaces

2016 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Humberto Rafeiro ◽  
Stefan Samko
Keyword(s):  
Integral Operators ◽  
Function Spaces ◽  
Standard Function

scholarly journals Boundedness and Continuity of Several Integral Operators with Rough Kernels inWFβSn-1on Triebel-Lizorkin Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-18
Author(s):  
Feng Liu
Keyword(s):  
Besov Spaces ◽  
Singular Integrals ◽  
Integral Operators ◽  
Function Class ◽  
Function Spaces ◽  
Maximal Functions ◽  
Rough Kernels ◽  
Systematic Treatment ◽  
Marcinkiewicz Integrals

A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels inWFβ(Sn-1), which relates to the Grafakos-Stefanov function class. Certain boundedness and continuity for these operators on Triebel-Lizorkin spaces and Besov spaces are proved by applying some criterions of bounds and continuity for several operators on the above function spaces.

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