scholarly journals Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents

2021 ◽  
Author(s):  
Afif Abdalmonem ◽  
Andrea Scapellato
Keyword(s):  
Variable Exponents ◽  
Herz Spaces ◽  
Square Functions ◽  
Intrinsic Square Functions

Sublinear operators on weighted Hardy spaces with variable exponents

2019 ◽  
Vol 31 (3) ◽  
pp. 607-617 ◽  
Author(s):  
Kwok-Pun Ho
Keyword(s):  
Hardy Spaces ◽  
Variable Exponents ◽  
Square Functions ◽  
Weighted Hardy Spaces ◽  
Riesz Means ◽  
Marcinkiewicz Integrals ◽  
Sublinear Operators ◽  
Intrinsic Square Functions

Abstract We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square functions and the Marcinkiewicz integrals on weighted Hardy spaces with variable exponents.

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.

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

scholarly journals Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Shengrong Wang ◽  
Jingshi Xu
Keyword(s):  
Morrey Spaces ◽  
Hardy Operator ◽  
Variable Exponents ◽  
Herz Spaces ◽  
Bmo Functions ◽  
Type Spaces

In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.

scholarly journals θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

2018 ◽  
Vol 16 (1) ◽  
pp. 1607-1620
Author(s):  
Yanqi Yang ◽  
Shuangping Tao
Keyword(s):  
Lipschitz Function ◽  
Herz Space ◽  
Variable Exponents ◽  
Herz Spaces ◽  
Bmo Function

AbstractThe aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅). It is proved that the θ-type Calderón-Zygmund operators are bounded on the homogeneous Herz space with variable exponents $\begin{array}{} \displaystyle \dot{K}^{\alpha,q(\cdot)}_{p(\cdot)}(\mathbb{R}^{n}). \end{array}$ Furthermore, the boundedness of the corresponding commutators generated by BMO function and Lipschitz function is also obtained respectively.

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