Bochkarev inequality for the Fourier transform of functions in the Lorentz spaces $L_{2,r}(\mathbb{R})$

G. K. Mussabayeva, N. T. Tleukhanova

L.N. Gumilyov Eurasian National University, 2 Satpayev st., 010010 Astana, Kazakhstan

Abstract: In this article we prove an analogue of Hardy–Littlewood–Stein inequality for the Fourier transform in Lorentz space $L_{2,r}(\mathbb{R})$.

Keywords and phrases: Lorentz spaces, Fourier transform.

MSC: 42B10

Received: 03.02.2015

Language: English

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