On translation non invariant singular integral operators
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Abstract (EN)
In this thesis, we first generalize the main result on translation invariant singular integral operators of the non-translation invariant case and to Banach-space valued functions. The result is conditional in the sense that one needs continuity of the operator on some L^(p_0 )space with p_0>1. We extend the Mikhlin multiplier theorem to the case of Hilbert-space-valued functions. Moreover, we prove continuity of zero-order pseudodifferential operators on L^p (R^n), 1Keyword: Banach uzayları = Banach spaces ; Schwarz uzayı = Schwarz space
Author
Büşra Yılmaz
How to Cite
Büşra Yılmaz (Master Thesis). On translation non invariant singular integral operators, 2014, Kütahya Dumlupınar University.
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