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Currently displaying 1 – 3 of 3

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Products of Toeplitz operators and Hankel operators

Yufeng Lu; Linghui Kong — 2014

Studia Mathematica

We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.

Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces

Wen Yuan; Yufeng Lu; Dachun Yang — 2015

Studia Mathematica

In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.

A theorem of Nehari type on weighted Bergman spaces of the unit ball.

Lu, Yufeng; Yang, Jun — 2008

Abstract and Applied Analysis

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