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Spectral theory of multiplication operators on Hardy-Sobolev spaces

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 نشر من قبل Kehe Zhu
 تاريخ النشر 2017
  مجال البحث
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For a pointwise multiplier $varphi$ of the Hardy-Sobolev space $H^2_beta$ on the open unit ball $bn$ in $cn$, we study spectral properties of the multiplication operator $M_varphi: H^2_betato H^2_beta$. In particular, we compute the spectrum and essential spectrum of $M_varphi$ and develop the Fredholm theory for these operators.



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