Abstract. Strong summability results are proved for $d$-dimensional Fourier transforms of $f\in L_p(\log L)^{d-1}({\msbm R}^d)$ and $f\in L_p({\msbm R}^d)$.
AMS Subject Classification
(1991): 42B08, 42A24, 42A38
Keyword(s):
Fourier transforms,
strong summability,
\theta,
-summability,
strong maximal function,
Lebesgue points
Received March 29, 2007, and in revised form May 21, 2007. (Registered under 6012/2009.)
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