[PDF.52vs] An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation (Memoirs of the American Mathematical Society)

An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation (Memoirs of the American Mathematical Society)

[PDF.ma61] An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation (Memoirs of the American Mathematical Society)

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 | #16233871 in Books |  Amer Mathematical Society |  2007-07-22 | Original language:English |  9.50 x6.75 x.25l,.47 | File type: PDF | 97 pages

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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 mea...

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