NDLI: Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers

Content Provider	Scilit
Author	Chanillo, Sagun Muckenhoupt, Benjamin
Copyright Year	1986
Description	We consider the Bochner-Riesz multiplier \[ \widehat {{T_\delta }f}(\xi ) = {(1 - {\left \| \xi \right \|^2})^\delta } + \hat f(\xi ),\qquad \delta > 0,\] where $\widehat {}$ denotes the Fourier transform. It is shown that the multiplier operator ${T_\delta }$ is weak type $({p_0}, {p_0})$ acting on ${L^{p0}}({{\mathbf {R}}^n})$ radial functions, where ${p_0}$ is the critical value $2n/(n + 1 + 2\delta )$.
Related Links	https://www.ams.org/tran/1986-294-02/S0002-9947-1986-0825730-6/S0002-9947-1986-0825730-6.pdf
Ending Page	703
Page Count	11
Starting Page	693
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2000209
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	294
Language	English
Publisher	Duke University Press
Publisher Date	1986-04-01
Access Restriction	Open
Subject Keyword	Statistics and Probability Spherical Summation Weak Type Bochner Riesz Functions Multiplier Radial
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers