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Letμ   $$ \mu $$    be a finite Borel measure on[  0,1  )   $$ \left[0,1\right) $$   . In this paper, we consider the generalized integral type Hilbert operatorIμ    α  +  1(  f  )  (  z  )  =    ∫    0    1f  (  t  )(  1  −  t  z  )    α  +  1d  μ  (  t  )(  α  &gt;  −  1  )  .   $$ {\mathcal{I}}_{\mu_{\alpha &amp;amp;amp;amp;amp;#x0002B;1}}(f)(z)&amp;amp;amp;amp;amp;#x0003D;{\int}_0&amp;amp;amp;amp;amp;#x0005E;1\frac{f(t)}{{\left(1- tz\right)}&amp;amp;amp;amp;amp;#x0005E;{\alpha &amp;amp;amp;amp;amp;#x0002B;1}} d\mu (t)\kern0.30em \left(\alpha &amp;amp;amp;amp;gt;-1\right). $$    The operatorIμ    1$$ {\mathcal{I}}_{\mu_1} $$    has been extensively studied recently. The aim of this paper is to study the boundedness (resp. compactness) ofIμ    α  +  1$$ {\mathcal{I}}_{\mu_{\alpha &amp;amp;amp;amp;amp;#x0002B;1}} $$    acting from the normal weight Bloch space into another of the same kind. As consequences of our study, we get completely results for the boundedness ofIμ    α  +  1$$ {\mathcal{I}}_{\mu_{\alpha &amp;amp;amp;amp;amp;#x0002B;1}} $$    acting between Bloch type spaces, and between logarithmic Bloch spaces.

Generalized integral type Hilbert operator acting between weighted Bloch spaces