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Corrigenda: On the product theory of singular integrals.

Alexander Nagel, Elias M. Stein (2005)

Revista Matemática Iberoamericana

We wish to acknowledge and correct an error in a proof in our paper On the product theory of singular integrals, which appeared in Revista Matemática Iberoamericana, volume 20, number 2, 2004, pages 531-561.

Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)

G. Goes (1998)

Studia Mathematica

Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections σ n x of a sequence x in a translation invariant BK-space is not necessarily bounded. Theorem 4.2(ii) of [1] and the proof of Proposition 4.3 of [1] are corrected. All other statements of [1], including Proposition 4.3 itself, are correct.

Costruzione di un sistema di polinomi ortonormali a partire da due suoi polinomi consecutivi

Aldo Ghizzetti (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The following result is proved: to give two consecutive polynomials P n ( x ) , P n + 1 ( x ) of an orthonormal system is equivalent to assign the first 2 n + 3 moments of the Lebesgue-Stieltjes measure associated with the system.

Courbes corde-arc et espaces de Hardy généralisés

Guy David (1982)

Annales de l'institut Fourier

Étant donné Γ une courbe de Jordan rectifiable du plan complexe admettant le paramétrage par la longueur d’arc z ( s ) , on étudie les relations entre la géométrie de Γ et la position dans L 2 ( Γ ) des deux espaces de Hardy associés à Γ . Plus précisément, on montre que si L 2 ( Γ ) est la somme presque-orthogonale des espaces de Hardy, la courbe Γ satisfait à une condition de type corde-arc, c’est-à-dire que pour tout s et tout t de R , | s - t | C | z ( s ) - z ( t ) | . Ce résultat est une sorte de réciproque à la généralisation du théorème de Calderón...

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