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

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.

Weighted Composition Operators from Derivative Hardy Spaces into n -th Weighted-Type Spaces

Journal of Mathematics ◽

10.1155/2021/4398397 ◽

2021 ◽

Vol 2021 ◽

pp. 1-8

Author(s):

Nanhui Hu

Keyword(s):

Hardy Spaces ◽

Composition Operators ◽

Essential Norm ◽

Type Spaces ◽

Weighted Composition ◽

The boundedness, compactness, and the essential norm of weighted composition operators from derivative Hardy spaces into n -th weighted-type spaces are investigated in this paper.

Norms of multiplication operators on Hardy spaces and weighted composition operators from Hardy spaces to weighted-type spaces on bounded symmetric domains

10.1016/j.amc.2010.08.022 ◽

2010 ◽

Vol 217 (6) ◽

pp. 2870-2876 ◽

Cited By ~ 4

Author(s):

Stevo Stević

Keyword(s):

Hardy Spaces ◽

Composition Operators ◽

Multiplication Operators ◽

Bounded Symmetric Domains ◽

Type Spaces ◽

Weighted Composition ◽

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

10.1016/j.amc.2015.01.025 ◽

2015 ◽

Vol 256 ◽

pp. 37-51 ◽

Cited By ~ 3

Author(s):

Zhi-jie Jiang

Keyword(s):

Orlicz Space ◽

Product Type ◽

Type Operator ◽

Type Spaces ◽

Essential norm of differences of weighted composition operators between weighted-type spaces on the unit ball

10.1016/j.amc.2010.02.034 ◽

2010 ◽

Vol 217 (5) ◽

pp. 1811-1824 ◽

Cited By ~ 5

Author(s):

Stevo Stević

Keyword(s):

Unit Ball ◽

Composition Operators ◽

Essential Norm ◽

Type Spaces ◽

Weighted Composition ◽

On some product-type operators from Hardy–Orlicz and Bergman–Orlicz spaces to weighted-type spaces

10.1016/j.amc.2014.01.002 ◽

2014 ◽

Vol 233 ◽

pp. 565-581 ◽

Cited By ~ 8

Author(s):

Benoît Sehba ◽

Stevo Stević

Keyword(s):

Orlicz Spaces ◽

Product Type ◽

Type Spaces ◽

Weighted fractional composition operators on certain function spaces

Asian-European Journal of Mathematics ◽

10.1142/s1793557120500825 ◽

2019 ◽

Vol 13 (04) ◽

pp. 2050082

Author(s):

D. Borgohain ◽

S. Naik

Keyword(s):

Composition Operator ◽

Fractional Composition ◽

Composition Operators ◽

Sufficient Conditions ◽

Essential Norm ◽

Function Spaces ◽

Bloch Spaces ◽

Type Spaces ◽

Necessary And Sufficient ◽

In this paper, we give some characterizations for the boundedness of weighted fractional composition operator [Formula: see text] from [Formula: see text]-Bloch spaces into weighted type spaces by deriving the bounds of its norm. Also, estimates for essential norm are obtained which gives necessary and sufficient conditions for the compactness of the operator [Formula: see text].

On a product-type operator from Bloch spaces to weighted-type spaces on the unit ball

10.1016/j.amc.2010.12.099 ◽

2011 ◽

Vol 217 (12) ◽

pp. 5930-5935 ◽

Cited By ~ 8

Author(s):

Stevo Stević

Keyword(s):

Unit Ball ◽

Product Type ◽

Type Operator ◽

Bloch Spaces ◽

Type Spaces ◽

Essential Norm of Weighted Composition Operators From $$H^\infty $$ to nth Weighted Type Spaces

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1409-8 ◽

2019 ◽

Vol 16 (5) ◽

Author(s):

Ebrahim Abbasi ◽

Hamid Vaezi ◽

Songxiao Li

Keyword(s):

Composition Operators ◽

Essential Norm ◽

Type Spaces ◽

Weighted Composition ◽

Products of differentiation and weighted composition operators from hardy spaces to weighted-type spaces

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/3901 ◽

2019 ◽

Keyword(s):

Hardy Spaces ◽

Composition Operators ◽

Type Spaces ◽

Weighted Composition ◽

Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces

Mathematica Slovaca ◽

10.1515/ms-2017-0332 ◽

2020 ◽

Vol 70 (1) ◽

pp. 71-80

Author(s):

Ebrahim Abbasi ◽

Hamid Vaezi

Keyword(s):

Composition Operators ◽

Essential Norm ◽

Type Spaces ◽

Weighted Composition ◽

Generalized Weighted Composition Operators ◽

AbstractIn this paper, we give several characterizations for boundedness, essential norm and compactness of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces.