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CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS

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대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회보 (Bulletin of the KMS)|제47권 제4호|pp. 839-857

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참고문헌

키워드

Triebel-Lizorkin spacessingular integralsFourier multiplierSobolev imbeddingBesov-Lipschitz spaces
주제분류수학

초록

We give a set of continuous characterizations for the homogeneous Triebel-Lizorkin spaces and use them to study boundedness properties of Fourier multiplier operators whose symbols satisfy a generalization of H¨ormander’s condition. As an application, we give new direct proofs of the imbedding theorems of the Sobolev type.

Abstract

We give a set of continuous characterizations for the homogeneous Triebel-Lizorkin spaces and use them to study boundedness properties of Fourier multiplier operators whose symbols satisfy a generalization of H¨ormander’s condition. As an application, we give new direct proofs of the imbedding theorems of the Sobolev type.

참고문헌 (19)

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