Abstract
Before proceeding we emphasize a few fundamental points.
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Notes
- 1.
This author believes this question to still be open.
- 2.
The elegant paper [SAW] generalizes Stein’s theorem and corrects some of the slips in Stein’s original paper.
- 3.
To this author’s knowledge, this problem is still open.
References
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C. Fefferman, The multiplier problem for the ball. Ann. Math. 94, 330–336 (1971)
C. Fefferman and E. M. Stein, Hp spaces of several variables. Acta Math. 129, 137–193 (1972)
E.M. Stein, N.J. Weiss, On the convergence of Poisson integrals. Trans. AMS 140, 35–54 (1969)
E.M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces (Princeton University Press, Princeton, 1971)
E.M. Stein, G. Weiss, On the theory of harmonic functions of several variables. I. The theory of Hp-spaces. Acta Math. 103, 25–62 (1960)
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Krantz, S. (2023). More on Hardy Spaces. In: The E. M. Stein Lectures on Hardy Spaces. Lecture Notes in Mathematics, vol 2326. Springer, Cham. https://doi.org/10.1007/978-3-031-21952-8_2
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