
Abstract This paper deals with singular integral operators that are bounded, completely continuous, and Noetherian on manifolds with a boundary in weighted Hölder spaces.
singular integral operators on manifolds, Integral operators, Fredholm operators, weighted Hölder spaces, Systems of singular linear integral equations, Banach space, singular integral operator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), strongly elliptic matrix-functions, Lyapunov manifold, commutator, system of singular integral equations, boundedness, Fredholm operator, Fredholmness, manifolds with boundary, matrix singular operators, factorization of matrix symbols, factorization, Toeplitz operators, Hankel operators, Wiener-Hopf operators, compactness, Noether operators, (Semi-) Fredholm operators; index theories
singular integral operators on manifolds, Integral operators, Fredholm operators, weighted Hölder spaces, Systems of singular linear integral equations, Banach space, singular integral operator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), strongly elliptic matrix-functions, Lyapunov manifold, commutator, system of singular integral equations, boundedness, Fredholm operator, Fredholmness, manifolds with boundary, matrix singular operators, factorization of matrix symbols, factorization, Toeplitz operators, Hankel operators, Wiener-Hopf operators, compactness, Noether operators, (Semi-) Fredholm operators; index theories
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