Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1998-03-31
On Uryson Operators with Partial Integrals in Lebesgue Spaces with Mixed NormChur-Jen Chen and A.S. Kalitvin (1) Tunghai University, Taipei, Taiwan
(2) Pedagogical Institute, Lipetsk, Russian Federation
IN this paper we consider some class of partial Uryson integral operators in spaces with mixed norm. We give some conditions for action, boundedness and continuity of those operators.
Keywords: Nonlinear Uryson operators, partial integral operators, acting conditions, boundedness conditions, continuity conditions
Chen Chur-Jen, Kalitvin A.S.: On Uryson Operators with Partial Integrals in Lebesgue Spaces with Mixed Norm. Z. Anal. Anwend. 17 (1998), 3-8. doi: 10.4171/ZAA/804