On the existence of certain singular integrals

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Publication:2650069

DOI10.1007/BF02392130zbMath0047.10201OpenAlexW2033200134WikidataQ29544251 ScholiaQ29544251MaRDI QIDQ2650069

Alberto P. Calderón, Antoni Zygmund

Publication date: 1952

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392130




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Cites Work