A Real Variable Method for the Cauchy Transform and Applications to Analytic CapacityNagoya University, Department of Mathematics, College of General Education, 1987 - Analytic functions - 133 pages |
Common terms and phrases
˛ dx absolute constant analytic capacity analytic functions anti-symmetric Banach space C₂ Calderón Carleson measure Cauchy transform Cg wg chord-arc curve compact set completes the proof component Const G Const mo Cotlar's lemma crank of degree curve with constant deduce ds dt dx dy dy ds dyadic interval estimate exists finite Galton-Watson process graph H₂ Hence infimum integer L₁ lemmas necessary locally chord-arc Lreal Lreal,1 manner midpoint mutually disjoint n-tuple non-negative function norm obtain oc(B open set positive integer pr(E proof of Theorem real-valued required inequality RSL of Type segments sequence shows singular integral operator Tx-y VII Const VII VII Vlog w₁ x)dx yields δ δ δε Σ Σ дх շո है