Grand Herz–Morrey Spaces with Variable Exponent

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.