Lipschitz and darbo conditions for the superposition operator in some non-ideal spaces of smooth functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Lipschitz and darbo conditions for the superposition operator in some non-ideal spaces of smooth functions

Authors:

J. Appell E. De Pascale

Affiliation:

1. Dipartimento di Matematica, Università della Calabria, I-87036, Arcavacata CS, Italy

Abstract:

Let X be a Banach space of differentiable functions and A: X rarr

X be a superposition operator. We consider for A the conditions

$left\| {{{Ax_1 - Ax_2 } mathord{left/ {vphantom {{Ax_1 - Ax_2 } X}} right. kern-nulldelimiterspace} X}} right\| leqslant kleft\| {{{x_1 - x_2 } mathord{left/ {vphantom {{x_1 - x_2 } X}} right. kern-nulldelimiterspace} X}} right\|left( {x_1 ,x_2 in X} right),$

Keywords:
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