This article is cited in 13 papers

Papers published in the English version of the journal

Grand Herz–Morrey Spaces with Variable Exponent

M. Sultan^a, B. Sultan^b, A. Hussain<sup>b

a</sup> Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
^b Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

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.

Keywords: intrinsic square function, sublinear operator, grand Herz space, grand variable Herz–Morrey space (GVHM space).

MSC: 46E30, 47B38

Received: 18.05.2023
Revised: 31.08.2023

Language: English

 English version: Mathematical Notes, 2023, 114:5, 957–977

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