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## entrOperator Valued Dirichlet Problem in the PlaneOperator Valued Dirichlet Problem in the Plane

#### Nihat Gökhan Göğüş [1]

##### 211 376

We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulatethe Perron’s construction we make use of Olson’s notion of spectralorder. We introduce a class of operator valued subharmonic mappingsand establish some of their elementary properties.
Operator theory, Harmonic mappings, Perron method, Spectral order.
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Primary Language tr Mathematics Author: Nihat Gökhan Göğüş
 Bibtex @ { hujms101279, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe University}, year = {2013}, volume = {42}, pages = {269 - 280}, doi = {}, title = {Operator Valued Dirichlet Problem in the Plane}, key = {cite}, author = {Göğüş, Nihat Gökhan} } APA Göğüş, N . (2013). Operator Valued Dirichlet Problem in the Plane. Hacettepe Journal of Mathematics and Statistics, 42 (3), 269-280. Retrieved from http://dergipark.org.tr/hujms/issue/7748/101279 MLA Göğüş, N . "Operator Valued Dirichlet Problem in the Plane". Hacettepe Journal of Mathematics and Statistics 42 (2013): 269-280 Chicago Göğüş, N . "Operator Valued Dirichlet Problem in the Plane". Hacettepe Journal of Mathematics and Statistics 42 (2013): 269-280 RIS TY - JOUR T1 - Operator Valued Dirichlet Problem in the Plane AU - Nihat Gökhan Göğüş Y1 - 2013 PY - 2013 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 269 EP - 280 VL - 42 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Operator Valued Dirichlet Problem in the Plane %A Nihat Gökhan Göğüş %T Operator Valued Dirichlet Problem in the Plane %D 2013 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 42 %N 3 %R %U ISNAD Göğüş, Nihat Gökhan . "Operator Valued Dirichlet Problem in the Plane". Hacettepe Journal of Mathematics and Statistics 42 / 3 (March 2013): 269-280.