An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation: 882 (Memoirs of the American Mathematical Society) - Softcover
Synopsis
The authors define axiomatically a large class of function (or distribution) spaces on $N$-dimensional Euclidean space. The crucial property postulated is the validity of a vector-valued maximal inequality of Fefferman-Stein type. The scales of Besov spaces ($B$-spaces) and Lizorkin-Triebel spaces ($F$-spaces), and as a consequence also Sobolev spaces, and Bessel potential spaces, are included as special cases. The main results of Chapter 1 characterize our spaces by means of local approximations, higher differences, and atomic representations. In Chapters 2 and 3 these results are applied to prove pointwise differentiability outside exceptional sets of zero capacity, an approximation property known as spectral synthesis, a generalization of Whitney's ideal theorem, and approximation theorems of Luzin (Lusin) type.
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An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. Memoirs of the American Mathematical Society; Bd. 882.
Published by
Providence, American Mathematical Society, 2007
ISBN 10: 0821839837
ISBN 13: 9780821839836
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02544 9780821839836 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2488412