## Banach Journal of Mathematical Analysis

### Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz--Morrey spaces

#### Abstract

We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz--Morrey spaces $M^{\Phi,\varphi}_{w}({\mathbb{R}}^n)$. In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights $\varphi$ without assuming any monotonicity property of $\varphi(x,\cdot)$ with $x$ fixed.

#### Article information

Source
Banach J. Math. Anal., Volume 9, Number 2 (2015), 44-62.

Dates
First available in Project Euclid: 19 December 2014

https://projecteuclid.org/euclid.bjma/1419001104

Digital Object Identifier
doi:10.15352/bjma/09-2-5

Mathematical Reviews number (MathSciNet)
MR3296105

Zentralblatt MATH identifier
1311.42049

#### Citation

Guliyev, Vagif; Omarova, Mehriban; Sawano, Yoshihiro. Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz--Morrey spaces. Banach J. Math. Anal. 9 (2015), no. 2, 44--62. doi:10.15352/bjma/09-2-5. https://projecteuclid.org/euclid.bjma/1419001104

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