scholarly journals Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Hua Wang
Keyword(s):  
Hardy 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.

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 Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators

2016 ◽  
Vol 28 (5) ◽  
pp. 823-856 ◽  
Author(s):  
Jun Cao ◽  
Svitlana Mayboroda ◽  
Dachun Yang
Keyword(s):  
Elliptic Operator ◽  
Maximal Function ◽  
Hardy Spaces ◽  
Divergence Form ◽  
Higher Order ◽  
Square Functions ◽  
Maximal Interval ◽  
Measurable Coefficients ◽  
Order Elliptic Operator ◽  
Higher Order Elliptic Operator

AbstractLet L be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients and ${(p_{-}(L),p_{+}(L))}$ be the maximal interval of exponents ${q\in[1,\infty]}$ such that the semigroup ${\{e^{-tL}\}_{t>0}}$ is bounded on ${L^{q}(\mathbb{R}^{n})}$. In this article, the authors establish the non-tangential maximal function characterizations of the associated Hardy spaces ${H_{L}^{p}(\mathbb{R}^{n})}$ for all ${p\in(0,p_{+}(L))}$, which when ${p=1}$, answers a question asked by Deng, Ding and Yao in [21]. Moreover, the authors characterize ${H_{L}^{p}(\mathbb{R}^{n})}$ via various versions of square functions and Lusin-area functions associated to the operator L.

Square functions and H∞ calculus on subspaces of Lp and on Hardy spaces

2005 ◽  
Vol 251 (1) ◽  
pp. 101-115
Author(s):  
Florence Lancien ◽  
Christian Le Merdy
Keyword(s):  
Hardy Spaces ◽  
Square Functions
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