Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 104–119
Abstract
In this paper, we will obtain the weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_\lambda$-function on the weighted Morrey spaces $L^{1,\kappa}(w)$ for $0<\kappa<1$ and $w\in A_1$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n2.2
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 104–119
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Intrinsic square function weighted Morrey space $A_p$ weight.
-
Multilinear Singular and Fractional Integral Operators on Weighted Morrey Spaces
Wang, Hua | Yi, WentanJournal of Function Spaces and Applications, Vol. 2013 (2013), Iss. P.1
https://doi.org/10.1155/2013/735795 [Citations: 6] -
Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces
Lu, Wenna | Zhou, JiangComplex Variables and Elliptic Equations, Vol. 69 (2024), Iss. 5 P.828
https://doi.org/10.1080/17476933.2022.2161533 [Citations: 0] -
Weighted Norm Inequalities for Calderón–Zygmund Operators of $$\phi$$-Type and Their Commutators
Hang, Li | Zhou, JiangJournal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), Vol. 58 (2023), Iss. 3 P.152
https://doi.org/10.3103/S1068362323030068 [Citations: 1] -
Multilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
Guliyev, Vagif S | Omarova, MNJournal of Inequalities and Applications, Vol. 2014 (2014), Iss. 1
https://doi.org/10.1186/1029-242X-2014-258 [Citations: 1] -
Commutators of intrinsic square functions on generalized Morrey spaces
Wu, Xiaomei | Zheng, TaotaoJournal of Inequalities and Applications, Vol. 2014 (2014), Iss. 1
https://doi.org/10.1186/1029-242X-2014-128 [Citations: 1] -
Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials
Zhao, Nan | Zhou, Jiang | Liu, YuJournal of Pseudo-Differential Operators and Applications, Vol. 14 (2023), Iss. 3
https://doi.org/10.1007/s11868-023-00538-2 [Citations: 0] -
Boundedness of Vector-Valued Intrinsic Square Functions in Morrey Type Spaces
Wang, Hua
Journal of Function Spaces, Vol. 2014 (2014), Iss. P.1
https://doi.org/10.1155/2014/923680 [Citations: 3] -
Weighted Morrey Spaces Related to Schrödinger Operators with Nonnegative Potentials and Fractional Integrals
Wang, Hua
Journal of Function Spaces, Vol. 2020 (2020), Iss. P.1
https://doi.org/10.1155/2020/6907170 [Citations: 1] -
Weighted Morrey Spaces Related to Certain Nonnegative Potentials and Riesz Transforms
Wang, Hua
Journal of Function Spaces, Vol. 2019 (2019), Iss. P.1
https://doi.org/10.1155/2019/7057512 [Citations: 0] -
The Boundedness of Intrinsic Square Functions on the Weighted Herz Spaces
Wang, Hua
Journal of Function Spaces, Vol. 2014 (2014), Iss. P.1
https://doi.org/10.1155/2014/274521 [Citations: 3] -
Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces
Gao, Guilian | Wu, XiaomeiJournal of Function Spaces, Vol. 2014 (2014), Iss. P.1
https://doi.org/10.1155/2014/168381 [Citations: 0]