scholarly journals On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces

2015 ◽  
Vol 256 ◽  
pp. 37-51 ◽  
Author(s):  
Zhi-jie Jiang
Keyword(s):  
Orlicz Space ◽  
Product Type ◽  
Type Operator ◽  
Type Spaces ◽  
Weighted Type

scholarly journals The Product-Type Operators from Hardy Spaces into n th Weighted-Type Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Ebrahim Abbasi
Keyword(s):  
Hardy Spaces ◽  
Essential Norm ◽  
Product Type ◽  
Type Spaces ◽  
Equivalent Conditions ◽  
Weighted Type

The main goal of this paper is to investigate the boundedness and essential norm of a class of product-type operators T u , v , φ m , m ∈ ℕ from Hardy spaces into n th weighted-type spaces. As a corollary, we obtain some equivalent conditions for compactness of such operators.

scholarly journals The product-type operators from logarithmic Bloch spaces to Zygmund-type spaces

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3639-3653 ◽  
Author(s):  
Yongmin Liu ◽  
Yanyan Yu
Keyword(s):  
Positive Integer ◽  
Product Type ◽  
Type Operator ◽  
Bloch Spaces ◽  
Type Spaces

The boundedness and compactness of a product-type operator, recently introduced by S. Stevic, A. Sharma and R. Krishan, Tn?1,?2,?f(z) = ?1(z) f(n)(?(z)) + ?2(z) f(n+1)(?(z)), f ? H(D), from the logarithmic Bloch spaces to Zygmund-type spaces are characterized, where ?1, ?2 ? H(D),? is an analytic self-map of D and n a positive integer.

scholarly journals Note on norm of an m-linear integral-type operator between weighted-type spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Type Operator ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Integral Type ◽  
Type Spaces ◽  
Linear Integral ◽  
Necessary And Sufficient ◽  
Weighted Type

AbstractWe find a necessary and sufficient condition for the boundedness of an m-linear integral-type operator between weighted-type spaces of functions, and calculate norm of the operator, complementing some results by L. Grafakos and his collaborators. We also present an inequality which explains a detail in the proof of the boundedness of the linear integral-type operator on $L^{p}({\mathbb {R}}^{n})$ L p ( R n ) space.

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