Displaying similar documents to “Outer and inner vanishing measures and division in H∞ + C.”

Carleson measures for analytic Besov spaces.

Nicola Arcozzi, Richard Rochberg, Eric Sawyer (2002)

Revista Matemática Iberoamericana

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We characterize Carleson measures for the analytic Besov spaces. The problem is first reduced to a discrete question involving measures on trees which is then solved. Applications are given to multipliers for the Besov spaces and to the determination of interpolating sequences. The discrete theorem is also applied to analysis of function space on trees.

The singularity of orbital measures on compact Lie groups.

Kathryn E. Hare, Wai Ling Yee (2004)

Revista Matemática Iberoamericana

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We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.