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On Singular Integral Operators with Bounded Measurable Coefficients
Author(s) -
Andrew Paul
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941650112
Subject(s) - mathematics , singular integral operators , bounded function , singular integral , operator (biology) , bounded operator , mathematical analysis , measurable function , lyapunov function , pure mathematics , integral equation , nonlinear system , gene , biochemistry , chemistry , repressor , transcription factor , physics , quantum mechanics
Necessary and sufficient analytical conditions are determined for a singular integral operator of the form aP + bQ with bounded measurable coefficients to be a ϕ‐operator on L p (Γ) for all 1 < p < ∞. where Γ is a closed Lyapunov curve.