Abstract
Many linear operators T occurring in analysis enjoy one or both of the following properties:
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(a)
T maps the space of Hölder (Lipschitz) continuous functions with exponent α, Δ α , to the space Δ β , for appropriate α and β.
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(b)
T maps the L p space to L q, for appropriate p and q.
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© 1989 Kluwer Academic Publishers
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Stein, E.M., Zygmund, A. (1989). Boundedness of translation invariant operators on Hölder spaces and L p-spaces. In: Hulanicki, A., Wojtaszczyk, P., Żelazko, W. (eds) Selected Papers of Antoni Zygmund. Mathematics and Its Applications, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1045-4_21
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DOI: https://doi.org/10.1007/978-94-009-1045-4_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6962-5
Online ISBN: 978-94-009-1045-4
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