On the Pointwise Convergence of Fourier Series |
Other editions - View all
Common terms and phrases
absolute constant assume Banach space c₁ C₁₂ C₂ chapter characteristic function const Construction defined denote directly from 9 dt x-t dyadic interval dyadic neighbors easily shown everywhere ɛ G f(x+t fixed G₁ Hence Hilbert transform implies independent of f inequality of Harnack integer Lebesgue measure Lemma Let f linearly independent measurable set measure zero middle half Nth order simple order simple function P₁ x;w P₂ pair partition Poisson kernel polynomial Proof of Theorem real numbers real valued Remark restricted type p,q restricted weak type right dyadic S₁ satisfy set of divergence set of measure Suppose Taken directly term Theorem 3.6 trigonometric polynomial union of intervals weak type p,q x)dx ρε χε