Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable
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We define and study the grand Morrey spaces and the grand Hardy–Morrey spaces on
Euclidean space. We also introduce the small block space and study the duality between the …

In this paper, we define and study the mixed-norm Hardy spaces with variable exponents.
We establish some general principles for the mapping properties of sublinear operators on …

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 …

We obtain the boundedness of Calderón–Zygmund operators on the entire Hardy–Morrey
spaces with variable exponents. We obtain this result by refining the extrapolation theory …

This work explores new deep connections between John–Nirenberg type inequalities and
Muckenhoupt weight invariance for a large class of BMO-type spaces. The results are …

We give new proofs of Hardy space estimates for fractional and singular integral operators
on weighted and variable exponent Hardy spaces. Our proofs consist of several interlocking …

This article develops a novel approach to the representation of singular integral operators of
Calderón–Zygmund type in terms of continuous model operators, in both the classical and …

In this paper, we establish the extrapolation theory for the amalgam spaces and the Hardy-
amalgam spaces. By using the extrapolation theory, we obtain the mapping properties for …

The purpose of this paper is to present a new atomic decomposition for a dense class of
weighted Hardy spaces H wp (R n) via the discrete Calderón-type reproducing formula and …