Displaying similar documents to “A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of m a t h b b C n .”

Weighted Hardy's inequalities for negative indices.

Dmitryi V. Prokhorov (2004)

Publicacions Matemàtiques

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In the paper we obtain a precise characterization of Hardy type inequalities with weights for the negative indices and the indices between 0 and 1 and establish a duality between these cases.

Carleson's Theorem: proof, complements, variations.

Michael T. Lacey (2004)

Publicacions Matemàtiques

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Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.