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Boundedness of commutators of strongly singular convolution operators on Herz-type spaces

Boundedness of commutators of strongly singular convolution operators on Herz-type spaces

The author investigates the boundedness of the higher order commutator of strongly singular convolution operator, $T^m_b$, on Herz spaces $\dot {K}^{\alpha ,p}_q({{\mathbb R}}^n)$ and $K^{\alpha ,p}_q({{\mathbb R}}^n)$, and on a new class of Herz-type Ha