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Abstract We compute the Bergman kernel for H p 1 , p 2 , p 3 = { ( z 1 , z 2 , z 3 ) : |… Click to show full abstract
Abstract We compute the Bergman kernel for H p 1 , p 2 , p 3 = { ( z 1 , z 2 , z 3 ) : | z 1 | p 1 | z 2 | p 2 | z 3 | p 3 1 } , for any positive integers k = p 1 , p 2 , p 3 using the transformation formula under a proper holomorphic mapping. For example, we compute the explicit forms of the Bergman kernels of H k , k , 1 , H 1 , k , 1 , H k , 1 , 1 . Using the explicit formulas, we prove that the Bergman kernels have zeros.
Keywords:
explicit forms;
zeros bergman;
kernel dimensional;
dimensional hartogs;
forms zeros;
bergman kernel
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!