Estimates of commutators on Herz-type spaces with variable exponent and applications

2021 ◽  
Vol 15 (2) ◽  
Author(s):  
Hongbin Wang ◽  
Zunwei Fu
Keyword(s):  
Variable Exponent ◽  
Type Spaces

Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ferit Gürbüz ◽  
Shenghu Ding ◽  
Huili Han ◽  
Pinhong Long
Keyword(s):  
Integral Operator ◽  
Singular Integral ◽  
Variable Exponent ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Type Integral ◽  
Type Spaces ◽  
Bounded Sets ◽  
Littlewood Maximal Operator

AbstractIn this paper, applying the properties of variable exponent analysis and rough kernel, we study the mapping properties of rough singular integral operators. Then, we show the boundedness of rough Calderón–Zygmund type singular integral operator, rough Hardy–Littlewood maximal operator, as well as the corresponding commutators in variable exponent vanishing generalized Morrey spaces on bounded sets. In fact, the results above are generalizations of some known results on an operator basis.

Multilinear Hausdorff operator on variable exponent Morrey–Herz type spaces

2019 ◽  
Vol 31 (1) ◽  
pp. 62-86 ◽  
Author(s):  
Nguyen Minh Chuong ◽  
Dao Van Duong ◽  
Kieu Huu Dung
Keyword(s):  
Variable Exponent ◽  
Hausdorff Operator ◽  
Type Spaces

scholarly journals Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces

2020 ◽  
Vol 70 (3) ◽  
pp. 833-865
Author(s):  
Dao Van Duong ◽  
Kieu Huu Dung ◽  
Nguyen Minh Chuong
Keyword(s):  
Variable Exponent ◽  
Weighted Estimates ◽  
Type Spaces ◽  
Hausdorff Operators

scholarly journals Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Dag Lukkassen ◽  
Lars-Erik Persson ◽  
Stefan Samko ◽  
Peter Wall
Keyword(s):  
Variable Exponent ◽  
Morrey Space ◽  
Variable Order ◽  
Generalized Morrey Space ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Radial Weight ◽  
Type Integral ◽  
Type Spaces ◽  
Hardy Type Operators

We study thep·→q·boundedness of weighted multidimensional Hardy-type operatorsHwα·andℋwα·of variable orderαx, with radial weightwx, from a variable exponent locally generalized Morrey spaceℒp·,φ·ℝn,wto anotherℒq·,ψ·ℝn,w. The exponents are assumed to satisfy the decay condition at the origin and infinity. We construct certain functions, defined byp,α, andφ, the belongness of which to the resulting spaceℒq·,ψ·ℝn,wis sufficient for such a boundedness. Under additional assumptions onφ/w, this condition is also necessary. We also give the boundedness conditions in terms of Zygmund-type integral inequalities for the functionsφandφ/w.

On Singular Operators in Vanishing Generalized Variable-Exponent Morrey Spaces and Applications to Bergman-Type Spaces

2019 ◽  
Vol 106 (5-6) ◽  
pp. 727-739
Author(s):  
A. N. Karapetyants ◽  
H. Rafeiro ◽  
S. G. Samko
Keyword(s):  
Variable Exponent ◽  
Morrey Spaces ◽  
Singular Operators ◽  
Type Spaces
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