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Given a Lipschitz domain D⊂Rd , a Calderón–Zygmund operator T and a modulus of continuity ω(x) , we solve the problem when the truncated operator TDf=T(fχD)χD sends the Campanato space… Click to show full abstract
Given a Lipschitz domain D⊂Rd , a Calderón–Zygmund operator T and a modulus of continuity ω(x) , we solve the problem when the truncated operator TDf=T(fχD)χD sends the Campanato space Cω(D) into itself. The solution is a T1 type sufficient and necessary condition for the characteristic function χD of D: (TχD)χD∈Cω∼(D),whereω∼(x)=ω(x)1+∫x1ω(t)dt/t.
Keywords:
theorem calder;
calder;
calder zygmund;
zygmund operators;
operators campanato
Journal Title: Mathematische Nachrichten
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Nachrichten
Year Published: 2019
Link to full text (if available)
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recommendations!