Yayınlanmış 1 Ocak 2020 | Sürüm v1
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Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces

  • 1. Gebze Tech Univ, Kocaeli, Turkey

Açıklama

In this paper, we give a boundedness criterion for the potential operator I-a in the local generalized Morrey space LMp,phi(t(0))(Gamma) and the generalized Morrey space M-p,M-phi(Gamma) defined on Carleson curves Gamma, respectively. For the operator I-a, we establish necessary and sufficient conditions for the strong and weak Spanne-type boundedness on LMp,phi(t(0))(Gamma) and the strong and weak Adams-type boundedness on M-p,M-phi(Gamma).

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