Existence and weak-type inequalities for cauchy integrals of general measures on rectifiable curves and sets

Pertti Mattila; Mark S. Melnikov; Pertti Mattila

doi:10.1090/S0002-9939-1994-1160305-3

Existence and weak-type inequalities for cauchy integrals of general measures on rectifiable curves and sets

Pertti Mattila, Mark S. Melnikov, Pertti Mattila

Departament de Matemàtiques

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If μ is a finite complex Borel measure and T a Lipschitz graph in the complex plane, then for λ > 0 It follows that for any finite Borel measure μ and any rectifiable curve T the finite principal value exists for almost all (with respect to length) z ε T. © 1994 American Mathematical Society.

Idioma original	Anglès
Pàgines (de-a)	143-149
Revista	Proceedings of the American Mathematical Society
Volum	120
Número	1
DOIs	https://doi.org/10.1090/S0002-9939-1994-1160305-3
Estat de la publicació	Publicada - 1 de gen. 1994

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10.1090/S0002-9939-1994-1160305-3

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abstract = "If μ is a finite complex Borel measure and T a Lipschitz graph in the complex plane, then for λ > 0 It follows that for any finite Borel measure μ and any rectifiable curve T the finite principal value exists for almost all (with respect to length) z ε T. {\textcopyright} 1994 American Mathematical Society.",

author = "Pertti Mattila and Melnikov, {Mark S.} and Pertti Mattila",

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N2 - If μ is a finite complex Borel measure and T a Lipschitz graph in the complex plane, then for λ > 0 It follows that for any finite Borel measure μ and any rectifiable curve T the finite principal value exists for almost all (with respect to length) z ε T. © 1994 American Mathematical Society.

AB - If μ is a finite complex Borel measure and T a Lipschitz graph in the complex plane, then for λ > 0 It follows that for any finite Borel measure μ and any rectifiable curve T the finite principal value exists for almost all (with respect to length) z ε T. © 1994 American Mathematical Society.

U2 - 10.1090/S0002-9939-1994-1160305-3

DO - 10.1090/S0002-9939-1994-1160305-3

M3 - Article

SN - 0002-9939

VL - 120

SP - 143

EP - 149

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Existence and weak-type inequalities for cauchy integrals of general measures on rectifiable curves and sets

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