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Liu, Liguang; Yang, Dachun

Pointwise multipliers for Campanato spaces on Gauss measure spaces. (English) Zbl 1293.42011

Nagoya Math. J. 214, 169-193 (2014).
Authors’ abstract: The authors characterize pointwise multipliers for Campanato spaces on the Gauss measure space \((\mathbb{R}^n, |\cdot|, \gamma)\), which includes BMO(\(\gamma\)) as a special case. As applications, several examples of the pointwise multipliers are given. Also, the authors give an example of a nonnegative function in BMO(\(\gamma\)) but not in BLO(\(\gamma\)).
Reviewer: Lalit Kumar Vashisht (Delhi)

Cited in 4 Documents

MSC:

42B15 Multipliers for harmonic analysis in several variables
42B30 \(H^p\)-spaces
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)

Keywords:

pointwise multipliers; Campanato spaces; Gauss measure spaces
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\textit{L. Liu} and \textit{D. Yang}, Nagoya Math. J. 214, 169--193 (2014; Zbl 1293.42011)
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