Mixed norm estimates for the riesz transforms associated to dunkl harmonic oscillators

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  • who: Pradeep Boggarapu& Sundaram Thangavelu from the Clermont-Ferrand, France have published the research work: Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators, in the Journal: (JOURNAL)
  • what: The proposition will be proved if the authors show that Z Yn (u03c9)hu03c9, u2207u03ba0 Ym (u03c9)ih2u03ba (u03c9)du03c3(u03c9)=0 Sd-1 X Yn (u03c9)( u03ba(u03bd)Ym (u03c3u03bd u03c9))h2u03ba (u03c9)du03c3(u03c9)=0. u03bdu2208R+ But this is obvious, since the space Hnh is invariant under the action of the orthogonal group. In view of the above proposition, Theorem 1 . . .

     

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