Lq-ESTIMATES OF MAXIMAL OPERATORS ON THE p-ADIC VECTOR SPACE

Title & Authors
Lq-ESTIMATES OF MAXIMAL OPERATORS ON THE p-ADIC VECTOR SPACE
Kim, Yong-Cheol;

Abstract
For a prime number p, let $\small{\mathbb{Q}_p}$ denote the p-adic field and let $\small{\mathbb{Q}_p^d}$ denote a vector space over $\small{\mathbb{Q}_p}$ which consists of all d-tuples of $\small{\mathbb{Q}_p}$. For a function f $\small{{\in}L_{loc}^1(\mathbb{Q}_p^d)}$, we define the Hardy-Littlewood maximal function of f on $\small{\mathbb{Q}_p^d}$ by M_pf(x)
Keywords
p-adic vector space;the Hardy-Littlewood maximal function;
Language
English
Cited by
1.
Carleson measures and the BMO space on thep-adic vector space, Mathematische Nachrichten, 2009, 282, 9, 1278
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