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A new essential norm estimate of composition operators from weighted bloch space into -bloch spaces
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نویسنده
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castillo r.e. ,ramos-fernández j.c. ,rojas e.m.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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Let be any weight function defined on the unit disk d and let φ be an analytic self-map of d. in the present paper,we show that the essential norm of composition operator cφ mapping from the weighted bloch space to -bloch space &bernou is comparable to lim sup|a|→1-σa°φ bernou;,where for a d,σa is a certain special function in the weighted bloch space. as a consequence of our estimate,we extend the results about the compactness of composition operators due to tjani (2003). © 2013 rené e. castillo et al.
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آدرس
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departamento de matemáticas,universidad nacional de colombia,ap 360354, Colombia, departamento de matemáticas,universidad de oriente,cumaná 6101, Venezuela, departamento de matemáticas,pontificia universidad javeriana, Colombia
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Authors
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