scholarly journals Weak Type Estimates for Intrinsic Square Functions on Weighted Morrey Spaces

2013 ◽  
Vol 29 (2) ◽  
pp. 104-119 ◽  
Author(s):  
H. Wang
Keyword(s):  
Weak Type ◽  
Morrey Spaces ◽  
Square Functions ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Intrinsic Square Functions

scholarly journals Boundedness of Vector-Valued Intrinsic Square Functions in Morrey Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hua Wang
Keyword(s):  
Weak Type ◽  
Growth Function ◽  
Morrey Spaces ◽  
Square Functions ◽  
Doubling Condition ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Type Spaces ◽  
Vector Valued ◽  
Intrinsic Square Functions

We will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spacesLp,κ(w)when1≤p<∞,0<κ<1, and in the generalized Morrey spacesLp,Φfor1≤p<∞, whereΦis a growth function on(0,∞)satisfying the doubling condition.

scholarly journals Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Guilian Gao ◽  
Xiaomei Wu
Keyword(s):  
Weak Type ◽  
Morrey Spaces ◽  
Strong Type ◽  
Square Functions ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Intrinsic Square Functions

We prove the boundedness of the intrinsic functions on generalized weighted Morrey spacesMp,φ(w), including the strong type estimates and weak type estimates. Moreover, we define thekth-order commutators generated byBMORnfunctions and intrinsic functions, and obtain their strong type estimates onMp,φ(w). In some cases, we improve previous results.

scholarly journals Vector-Valued Inequalities in the Morrey Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Hua Wang
Keyword(s):  
Maximal Function ◽  
Weak Type ◽  
Growth Function ◽  
Morrey Spaces ◽  
Doubling Condition ◽  
Littlewood Maximal Function ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Type Spaces ◽  
Vector Valued

We will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spacesLp,κ(w)when1≤p<∞and0<κ<1, and in the generalized Morrey spacesLp,Φfor1≤p<∞, whereΦis a growth function on(0,∞)satisfying the doubling condition.

scholarly journals The Boundedness of Intrinsic Square Functions on the Weighted Herz Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Hua Wang
Keyword(s):  
Weak Type ◽  
Strong Type ◽  
Herz Spaces ◽  
Square Functions ◽  
Area Integral ◽  
Weak Type Estimates ◽  
Lusin Area Integral ◽  
Intrinsic Square Functions

We will obtain the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley𝒢-function, and𝒢λ*-function on the weighted Herz spacesK˙qα,p(w1,w2)(Kqα,p(w1,w2))with general weights.

scholarly journals Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Xukui Shao ◽  
Shuangping Tao
Keyword(s):  
Lebesgue Space ◽  
Variable Exponent ◽  
Fractional Integral ◽  
Weak Type ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Variable Kernel ◽  
Fractional Integral Operators ◽  
Weak Type Estimates ◽  
Weak Morrey Spaces

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators generated by BMO and Lipschitz functions are considered, respectively.

Intrinsic Square Functions on Vanishing Generalized Orlicz-Morrey Spaces

2017 ◽  
Vol 25 (4) ◽  
pp. 807-828 ◽  
Author(s):  
Fatih Deringoz ◽  
Vagif S. Guliyev ◽  
Maria Alessandra Ragusa
Keyword(s):  
Morrey Spaces ◽  
Square Functions ◽  
Intrinsic Square Functions
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