Abstract. We consider the multidimensional analogues of the Lorentz spaces and weighted Lebesgue spaces. For functions monotone in each variable in these spaces we study integrability properties of their Fourier transforms.
DOI: 10.14232/actasm-015-064-3
AMS Subject Classification
(1991): 42B10
Keyword(s):
Fourier transform,
monotone functions,
anisotropic Lorentz spaces,
weighted Lebesgue spaces
Received August 25, 2015, and in revised form December 13, 2015. (Registered under 64/2015.)
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