โ Scribed by J.N Lyness
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The two-dimensional classical Hardy spaces H p (T\\_T) on the bidisc are introduced and it is shown that the maximal operator of the Cesaร ro means of a distribution is bounded from H p (T\\_T) to L p (T 2 ) ( 3ร4 (T\\_T), L 1 (T 2 )) where the Hardy space H 1 > (T\\_T) is defined by the hybrid maxi
The d-dimensional classical Hardy spaces H T are introduced and it is shown p that the maximal operator of the Cesaro means of a distribution is bounded from ลฝ that the supremum in the maximal operator is taken over a positive cone. As a consequence we obtain the summability result due to Marcinkie
Let P be an elliptic differential operator on a non-compact connected manifold X ; suppose that both X and the coefficients of P are real analytic. Given a pair of open sets V and u in X with cr CC V C C X , we fix a sequence { e v } of solutions of Pu = 0 in V which are pairwise orthogonal under in