Bounds for partial derivatives: necessity of UMD and sharp constants

Author:

Castro Alejandro J.,Hytönen Tuomas P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. Besov, O.V., Il’in, V.P., Nikol’skiĭ, S.M.: Integral Representations of Functions and Imbedding Theorems, vol. I. V. H. Winston & Sons, Washington, DC (1978). Translated from the Russian, Scripta Series in Mathematics, Edited by Mitchell H. Taibleson

2. Bourgain, J.: Some remarks on Banach spaces in which martingale difference sequences are unconditional. Ark. Mat. 21, 163–168 (1983)

3. Bourgain, J.: Vector-valued singular integrals and the $$H^1$$ H 1 -BMO duality. In: Chao, J.A., Woyczyński, W.A. (eds.) Probability Theory and Harmonic Analysis (Cleveland, Ohio, 1983), vol. 98 of Monographs Textbooks Pure Applied Mathematics, pp. 1–19. Dekker, New York (1986)

4. Burkholder, D.L.: A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions. In: Conference on harmonic analysis in honor of Antoni Zygmund, vol. I, II (Chicago, Ill., 1981), Wadsworth Mathematics Series, pp. 270–286. Wadsworth, Belmont, CA (1983)

5. Burkholder, D.L.: Boundary value problems and sharp inequalities for martingale transforms. Ann. Probab. 12, 647–702 (1984)

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