We present a correlation analysis of GONG p-mode frequencies with nine solar activity indices for the period 1995 August to 1997 August. This study includes spherical harmonic degrees in the range 2 to 150 and the frequency range of 1500-3500 μHz. Using three statistical tests, the measured mean frequency shifts show strong to good correlation with activity indices. A decrease of 0.06 μHz in fr...

It is shown that a Banach space E has type p if and only for some (all) d ≥ 1 the Besov space B ( 1 p − 1 2 )d p,p (R ;E) embeds into the space γ(L2(Rd), E) of γ-radonifying operators L2(Rd) → E. A similar result characterizing cotype q is obtained. These results may be viewed as E-valued extensions of the classical Sobolev embedding theorems.