Spectral properties of some operator matricesSpringer Science and Business Media LLC - Tập 80 - Trang 37-46 - 2003
Il Bong Jung, Eungil Ko, Carl Pearcy
We study the classes of Jordan and n-normal operators, especially from the standpoint of spectral properties. We show that these classes have many of the good spectral properties of normal operators by showing this for a class of operators that contains both of the above-mentioned classes. We then obtain various consequences of our spectral results.
On the convergence properties of basic series representing special monogenic functionsSpringer Science and Business Media LLC - Tập 81 - Trang 62-71 - 2003
M. A. Abul-Ez, D. Constales
In this paper, it is shown that certain classes of special monogenic functions cannot
be represented by the basic series in the whole space. New definitions for the order of basis of
special monogenic polynomials are given together with theorems on representation of classes of
special monogenic functions in certain balls and at a point.
A Trudinger–Moser inequality for a conical metric in the unit ballSpringer Science and Business Media LLC - Tập 112 - Trang 531-545 - 2019
Yunyan Yang, Xiaobao Zhu
In this note, we prove a Trudinger–Moser inequality for a conical metric in the unit ball. Precisely, let
$${\mathbb {B}}$$
be the unit ball in
$${\mathbb {R}}^N$$
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