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Dilation operators and integral operators on amalgam space \((L_{p},l_{q})\)

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This paper establishes the Hardy–Littlewood–Pólya inequalities, the Hardy inequalities and the Hilbert inequalities on amalgam spaces. Moreover, it also gives the mapping properties of the Mellin convolutions, the Hadamard fractional integrals and the Hausdorff operators on amalgam spaces. We establish these properties by some estimates for the operator norms of the dilation operators on amalgam spaces.

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  1. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10, Lo Ping Road, Tai Po, Hong Kong, China

    Kwok-Pun Ho

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Ho, KP. Dilation operators and integral operators on amalgam space \((L_{p},l_{q})\). Ricerche mat 68, 661–677 (2019). https://doi.org/10.1007/s11587-019-00431-5

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