This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb {R}}^ n
$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a …

In this article, we show continuity of commutators of Calderón-Zygmund operators [b, T] with
BMO functions in generalized Orlicz-Morrey spaces M Φ, φ (R n). We give necessary and …

In the paper we study the fractional maximal commutators M_ b, α M b, α and the
commutators of the fractional maximal operator b, M_ α b, M α in the Orlicz spaces L^ Φ (G) …

An atomic decomposition of Hardy spaces by atoms associated with Banach function space
is developed. Inspired by these decompositions, a criterion on a general Banach function …

We establish the boundedness of singular integral operators, the Fefferman–Stein inequality
and the John–Nirenberg inequalities on weighted Lebesgue spaces with variable …

We consider generalized Orlicz‐Morrey spaces MΦ, φ (ℝn) including their weak versions
WMΦ, φ (ℝn). In these spaces we prove the boundedness of the Riesz potential from M Φ, φ …

We extend the extrapolation theory to Morrey spaces associated with Banach function
spaces. Some applications by this theory such as the Fefferman–Stein vector-valued …

Let 0 ≤ α< n 0≤ α< n, b, M_ α b, M α and b, M^ ♯ b, M♯ be the nonlinear commutators of
the fractional maximal function M_ α M α and the sharp maximal function M^ ♯ M♯ with a …

We give some characterizations of the boundedness of the maximal or nonlinear
commutators of the Hardy–Littlewood maximal function and sharp maximal function in …

We study the boundedness of intrinsic square functions and their commutators on vanishing
generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are …