Grand Herz–Morrey Spaces with Variable Exponent

Abstract

In this article, we prove the boundedness of an intrinsic square function and sublinear operators under appropriate assumptions about the grand variable Herz–Morrey spaces $$M\dot{K} ^{a(\cdot),u),\theta}_{ \beta, q(\cdot)}(\mathbb{R}^n)$$ , where $$a(\cdot)$$ is log-Hölder continuous both at the origin and at infinity.

Topics & Concepts