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Nonlinear Riemann‐Hilbert Problems with Unbounded Restriction Curves
Author(s) -
Wegert Elias
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.19941700122
Subject(s) - mathematics , uniqueness , lebesgue integration , norm (philosophy) , nonlinear system , riemann integral , pure mathematics , mathematical analysis , lp space , singular integral , riemann hypothesis , riemann–stieltjes integral , integral equation , banach space , physics , quantum mechanics , political science , law
Using a norm inequality for singular integral operators in pairs of weighted Lebesgue spaces we prove new existence and uniqueness results for solutions of nonlinear Riemann‐Hilbert problems with noncompact restriction curves.