Abstract
We prove a pointwise equivalence between a spherical square function composed with the Riesz potential and a Littlewood–Paley function arising from the Bochner–Riesz operators. Also, its application to the theory of Sobolev spaces will be given.
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The author is partly supported by Grant-in-Aid for Scientific Research (C) No. 25400130, Japan Society for the Promotion of Science.
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Sato, S. Spherical square functions of Marcinkiewicz type with Riesz potentials. Arch. Math. 108, 415–426 (2017). https://doi.org/10.1007/s00013-017-1027-2
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DOI: https://doi.org/10.1007/s00013-017-1027-2