| Tartalmi leírás: |
ome recent results on a general summability method, on the so-called
µ-summability is summarized. New spaces, such as Wiener amalgams, Feichtinger’s
algebra and modulation spaces are investigated in summability
theory. Sufficient and necessary conditions are given for the norm and a.e.
convergence of the µ-means.
Key Words: Wiener amalgam spaces, Feichtinger’s algebra, homogeneous
Banach spaces, Besov-, Sobolev-, fractional Sobolev spaces, modulation spaces,
Herz spaces, Hardy-Littlewood maximal function, µ-summability of Fourier
series, Lebesgue points.
AMS Classification Number: Primary 42B08, 46E30, Secondary 42B30,
42A38
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