Estimates for some potential-type operators with oscillating symbols

Автор: Gil Alexey V., Nogin Vladimir A.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 3 т.12, 2010 года.

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In the framework of Hardy spaces $H^p$, we study multidimensional potential-type operators whose kernels have singularities on the unit sphere. Necessary and sufficient conditions are obtained for such operators to be bounded from H^p to H^q, from BMO to {L^\infty}, from L^1 to H^1 or from BMO to BMO.

Convolution, oscillating symbol, h^p-h^q оценки, multiplier, potential-type operator, bmo, h^p-{h^q}-estimates, distribution

Короткий адрес: https://sciup.org/14318310

IDR: 14318310

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