## Abstract

This research paper focuses on establishing a framework for grand Herz-Morrey spaces defined over the p-adic numbers and their associated p-adic intrinsic square function. We will define the ideas of grand p-adic Herz-Morrey spaces with variable exponent MK (Formula Presented) and p-adic intrinsic square function. Moreover, the corresponding operator norms are estimated. Grand p-adic Herz-Morrey spaces with variable exponent is the generalization of p-adic Herz spaces. Our main goal is to obtain the boundedeness of p-adic intrinsic square function in grand p-adic Herz-Morrey spaces with variable exponent MK (Formula Presented). The boundedness is proven by exploiting the properties of variable exponents in these function spaces.

Original language | English |
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Pages (from-to) | 26484-26497 |

Number of pages | 14 |

Journal | AIMS Mathematics |

Volume | 8 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2023 |

Externally published | Yes |

## Keywords

- grand p-adic Herz-Morrey spaces
- p-adic Lebesgue spaces with variable exponents
- p-adic intrinsic square function