## Singular integralsAlberto P. Calderón, American Mathematical Society |

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### Contents

On Singular Integrals | 1 |

Algebras of Singular Integral Operators | 18 |

On the Existence of Singular Integrals | 56 |

Copyright | |

12 other sections not shown

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algebra Amer analytic apply argument assume Banach belongs bounded function bounded operator choose closed codimension coefficients compact set compact support completes the proof condition consider constant rank continuously into L(l/p converges convolution Corollary defined definition denote depending derivatives differential operators eigenvalues elliptic elliptic operator estimate Euclidean exists Fabes finite codimension formula Fourier transform given Hence holds homogeneous of degree Hormander implies independent inequality inverse kernel L2 norms Lemma lim f linear manifold maps L(l/p matrix multi-indices neighborhood notation null space obtain operator of class parabolic evolution operator parabolic singular integral parametrix partition of unity polynomial proof of Theorem properties prove pseudo-differential operators real number replaced respect result Riesz right-hand side satisfies singular integral operators spherical harmonics sufficient supp Suppose symbol symmetric tends to zero term Theorem 6.1 uniformly valid vanishes variable vector