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Boundedness and compactness of Volterra type integral operators

✍ Scribed by R. Oinarov

Publisher: SP MAIK Nauka/Interperiodica
Year: 2007
Tongue: English
Weight: 196 KB
Volume: 48
Category: Article
ISSN: 0037-4466
DOI: 10.1007/s11202-007-0091-4

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McIntosh, and Meyer [3] showed that llC[q5]1/ < Const(1 + ~~q5~~~) (cf. [2]). The method given in [6] yields that IlC[ti]II < ConsW + ll~ll~Mo ) (cf. Lemma 6). In this paper, we show 2. NOTATION AND LEMMAS We denote by L," the totality of real-valued functions in L" and by L,", the totality of non-