Nice sets of multi-indices

Madych, W. R.; Szeptycki, P.

doi:10.1090/S0002-9939-1978-0481857-3

Nice sets of multi-indices
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by W. R. Madych and P. Szeptycki PDF

Proc. Amer. Math. Soc. 69 (1978), 70-72 Request permission

Abstract:

Finite sets, A, of n-tuples for which ${({\Sigma _{\alpha \in A}}(\prod _{j = 1}^n|{x_j}{|^{{\alpha _j}}}))^{ - p}},p > 0$, is integrable over ${R^n}$ are given a simple characterization. Applications to certain Fourier multiplier theorems are mentioned.

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