Abstract
In this chapter, we show how the Littlewood-Paley theorem for ℤ can be used to construct (i) examples of sets which are ⋀(p) for every p; and (ii) an example of a multiplier of Lp which is in a certain sense “singular”. The results are due to Meyer [30] and Figà-Talamanca and Gaudry [14] respectively.
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© 1977 Springer-Verlag Berlin Heidelberg
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Edwards, R.E., Gaudry, G.I. (1977). Applications of the Littlewood-Paley Theorem. In: Littlewood-Paley and Multiplier Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 90. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66366-6_10
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DOI: https://doi.org/10.1007/978-3-642-66366-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-66368-0
Online ISBN: 978-3-642-66366-6
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