Periodization, Transference of Muckenhoupt Weights, and Automatic Tight Norm Estimates for the Periodic Hilbert Transform

Author:

Berkson Earl

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference31 articles.

1. Andersen, K.F., Mohanty, P.: Restriction and extension of Fourier multipliers between weighted $$L^{p}$$ spaces on $${\mathbb{R}}^{n}$$ and $${\mathbb{T}}^{n}$$. Proc. Am. Math. Soc. 137, 1689–1697 (2009)

2. Anderson, T.C.: A Framework for Calderón–Zygmund Singular Integral Operators on Spaces of Homogeneous Type. Brown University, Providence, Rhode Island, Thesis (2015)

3. Berkson, E., Gillespie, T.A.: Multipliers for weighted $$L^{p}$$-spaces, transference, and the q-variation of functions. Bull. Sci. Math. 122, 427–454 (1998)

4. Berkson, E., Gillespie, T.A.: On restrictions of multipliers in weighted settings. Indiana Univ. Math. J. 52, 927–961 (2003)

5. Buckley, S. M.: “Harmonic Analysis on Weighted Spaces,” Thesis, University of Chicago (1990) (written under the guidance of Professor Robert Fefferman)

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