Weak type estimates for bochner-riesz spherical summation multipliers

Sagun Chanillo; Benjamin Muckenhoupt

doi:10.1090/S0002-9947-1986-0825730-6

Weak type estimates for bochner-riesz spherical summation multipliers

Sagun Chanillo, Benjamin Muckenhoupt

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We consider the Bochner-Riesz multiplier (Formula Presented) where denotes the Fourier transform. It is shown that the multiplier operator Ts is weak type (po, po) acting on L^po(Rⁿ) radial functions, where po is the critical value 2n/(n + 1 + 2δ).

Original language	English (US)
Pages (from-to)	693-703
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	294
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1986-0825730-6
State	Published - Apr 1986

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1986-0825730-6

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abstract = "We consider the Bochner-Riesz multiplier (Formula Presented) where denotes the Fourier transform. It is shown that the multiplier operator Ts is weak type (po, po) acting on Lpo(Rn) radial functions, where po is the critical value 2n/(n + 1 + 2δ).",

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AB - We consider the Bochner-Riesz multiplier (Formula Presented) where denotes the Fourier transform. It is shown that the multiplier operator Ts is weak type (po, po) acting on Lpo(Rn) radial functions, where po is the critical value 2n/(n + 1 + 2δ).

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