Abstract
The classical square functions play important role in Harmonic Analysis and have a very direct connection with L 2-estimates and Littlewood-Paley theory. In this paper we introduce a new variant of square-like functions generated by some composite wavelet transform. We establish Calderón-type reproducing formula and then prove L 2-boundedness of newly defined square-like functions.
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The research was supported by the Scientific Research Project Administration Unit of the Akdeniz University (Turkey) and TUBITAK (Turkey).
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Aliev, I.A., Bayrakci, S. Square-like Functions Generated by a Composite Wavelet Transform. Mediterr. J. Math. 8, 553–561 (2011). https://doi.org/10.1007/s00009-010-0084-6
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DOI: https://doi.org/10.1007/s00009-010-0084-6