A Geometric Condition that Implies the Existence of Certain Singular Integrals of Banach-Space-Valued Functions

By Burgess Davis, Renming Song. 2011

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Periodic solutions of degenerate differential equations in vector-valued function spaces (2011, methodology): “This has been shown by Bourgain [6] and Burkholder [11].”
The foundational inequalities of D.L. Burkholder and some of their ramifications (2010, methodology): “We refer the reader to, for example, [36], and especially [109] where it is shown that under suitable smoothness conditions the Hörmander Lp-multiplier theorem ([141, p.”