## Inequalities: Proceedings, Volume 2 |

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### Contents

Application to Harmonic Functions | 101 |

Applications to the Theory of Potentials | 125 |

References | 148 |

Copyright | |

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### Common terms and phrases

admissible kernel apply assume Banach space bounded canonical functions closed subspace consider convex cone convex set Corollary 2.1 corresponding defined denote dx dy eigenvalues element equality holds equation equivalence classes example extended finite following theorem Fourier series given gives Haar measure harmonic functions Hence homogeneous hypermetric hypothesis identity implies index set inequality infinite inner product space kernel Lebesgue Lemma locally compact group Math matrix measurable functions measure spaces metric space necessary and sufficient nonnegative norm normal form obtain orthonormal polynomial positive integer positive numbers problem proof of Theorem prove real numbers Remark restriction result satisfies Section sequence Similarly singular spline Subsection subspace sufficient condition Suppose symmetric Theorem 2.2 theory topological values variables vector spaces verified