Concepedia

Extrapolation and interpolation of quasi-linear operators on martingales

D. L. Burkholder, Richard F. Gundy

Acta Mathematica · 1970 · 440 citations · 9 references

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Abstract

Here (P is any nondecreasing absolutely continuous function satisfying a growth condition; the choice of c and C depend only on the rate of growth of (P.

References

9

A maximal theorem with function-theoretic applications

G. H. Hardy, J. E. Littlewood · Acta Mathematica · 1930 · 412 citations · Full text

, , +2

A Remarkable Series of Orthogonal Functions (I)

R. E. A. C. Paley · Proceedings of the London Mathematical Society · 1932 · 409 citations

, , +4

Martingale Transforms

D. L. Burkholder · The Annals of Mathematical Statistics · 1966 · 399 citations · Full text

A Note on the Interpolation of Sublinear Operations

A. P. Calderón, A. Zygmund · American Journal of Mathematics · 1956 · 77 citations

, , +11

A Decomposition for $L^1$-Bounded Martingales

Richard F. Gundy · The Annals of Mathematical Statistics · 1968 · 53 citations · Full text

, , +8