J.-A. Chao
Abstract
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We show that, on local fields, “nice” singular integral transforms preserve ${H^p}$-spaces for $0 < p < \infty$ where ${H^p}$ is the space of all distributions whose maximal functions are in ${L^p}$. A version of the F. and M. Riesz theorem is also obtained.
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We show that, on local fields, “nice” singular integral transforms preserve ${H^p}$-spaces for $0 < p < \infty$ where ${H^p}$ is the space of all distributions whose maximal functions are in ${L^p}$. A version of the F. and M. Riesz theorem is also obtained.
Key concepts: Singular integral, Mathematics, Singular integral operators, Riesz transform, Mathematical analysis, Space (punctuation), Pure mathematics, Integral transform