scholarly journals Endpoint estimates for commutators of intrinsic square functions in Morrey type spaces

2015 ◽  
pp. 801-826
Author(s):  
Hua Wang
Keyword(s):  
Square Functions ◽  
Type Spaces ◽  
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.

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 Multilinear Square Functions with Kernels of Dini’s Type

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Zengyan Si ◽  
Qingying Xue
Keyword(s):  
Weak Type ◽  
Square Function ◽  
Square Functions ◽  
Type Spaces

LetTbe a multilinear square function with a kernel satisfying Dini(1) condition and letT⁎be the corresponding multilinear maximal square function. In this paper, first, we showed thatTis bounded fromL1×⋯×L1toL1/m,∞.Secondly, we obtained that if eachpi>1, thenTandT⁎are bounded fromLp1(ω1)×⋯×Lpm(ωm)toLp(νω→)and if there ispi=1, thenTandT⁎are bounded fromLp1(ω1)×⋯×Lpm(ωm)toLp,∞(νω→), whereνω→=∏i=1mωip/pi.Furthermore, we established the weighted strong and weak type boundedness forTandT⁎on weighted Morrey type spaces, respectively.

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.

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