E. Ournycheva

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20022005

most citedThe Radon transform of functions of matrix argument

14 citations · 16 across the 6 of their papers we have counts for

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math.CA2002

$(L_{p}, L_{q})$ estimates of potentials with oscillating kernel

E. Ournycheva

$(L_{p}, L_{q})$ estimates are obtained for oscillatory potentials $(K^\alphaf)(x)=\int\limits_{R^n}\frac{\exp(i|y|)}{|y|^{n-α}}f(x-y)dy$, $0 < α < n$ , $n \geq 2$ , whose symbol has a singul…

math.CA2002

Characterization of anysotropic Liouville-type mixed spaces and its application

V. A. Nogin, E. E. Ournycheva

Within the framework of the method of hypersingular integrals we obtain a characterization of the anysotropic spaces $L_{p ˉ, r ˉ}^{α ˉ}$ . These spaces are defined to cons…

(Lp​,Lq​) estimates of potentials with oscillating kernel

Characterization of anysotropic Liouville-type mixed spaces and its application

$(L_{p}, L_{q})$ estimates of potentials with oscillating kernel