Interpolating sequences and Carleson measures in the Hardy–Sobolev spaces of the ball in ${\mathbb {C}}^{n}$

DOI10.4064/SM8405-8-2017zbMATH Open1393.32002arXiv1509.01919OpenAlexW2963225925MaRDI QIDQ3130527

Author name not available (Why is that?)

Publication date: 22 January 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Abstract: In this work we study Hardy Sobolev spaces in the ball of $C^n$ with respect to interpolating sequences and Carleson measures. We compare them with the classical Hardy spaces of the ball and we stress analogies and differences.

Full work available at URL: https://arxiv.org/abs/1509.01919

zbMATH Keywords

Hardy-Sobolev spaceCarleson measureinterpolating sequence

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of \(\mathbb{C}^{n}\) ⋮ Tangential interpolation in weighted vector-valued \(H^p\) spaces, with applications

This page was built for publication: Interpolating sequences and Carleson measures in the Hardy–Sobolev spaces of the ball in ${\mathbb {C}}^{n}$

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3130527)