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The precise norms of m-linear Hardy operators and m-linear Hilbert operators on Lebesgue spaces with power weights are computed. Analogous results are also obtained for Morrey spaces and central Morrey spaces.
In recent years, p-adic numbers are widely used in theoretical and mathematical physics cf. 1–8 , such as string theory, statistical mechanics, turbulence theory, quantum mechanics, and so forth. For a prime number p, let Qp be the field of p-adic numbers. It is defined as the completion of the field of rational numbers Q with respect to the non-Archimedean… (More)
This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions.… (More)