Miroslav Engliš

School of Mathematics and Physics, Jiangsu Polytechnic University, 213164 Changzhou, China

Department of Mathematics, Xuzhou Normal University, 221116 Xuzhou, China

Fang Zhang

Yongmin Liu

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<div class="xml-content"><h4 class="header" id="abstract">Abstract</h4><p>This paper characterizes the boundedness and compactness of the generalized composition operator <mml:math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi>&#x03C6;</mml:mi><mml:mi>g</mml:mi></mml:msubsup><mml:mi>f</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mrow><mml:msubsup><mml:mo>&#x222B;</mml:mo><mml:mn>0</mml:mn><mml:mi>z</mml:mi></mml:msubsup><mml:mrow><mml:mi>f</mml:mi><mml:mo>&#x0027;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>&#x03C6;</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>&#x03BE;</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mi>g</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>&#x03BE;</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:mrow></mml:mstyle></mml:mrow></mml:math> from Bloch type spaces to <i>Q<sub>K</sub></i> type spaces.</p></div><div class="xml-content"><h4 class="copyright" id="copyright">Copyright</h4><p>Copyright &#x00A9; 2010 Hindawi Publishing Corporation. This is an open access article distributed under the <a rel="license" href="http://creativecommons.org/licenses/by/3.0/">  Creative Commons Attribution License</a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</p></div>

Abstract

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Generalized composition operators from Bloch type spaces to <i>Q<sub>K</sub></i> type spaces

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<p><em>Journal of Function Spaces</em> publishes research on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines.</p>


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Journal of Function Spaces

Generalized composition operators from Bloch type spaces to QK type spaces

Abstract

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Generalized composition operators from Bloch type spaces to Q_K type spaces