p-Summing Bloch mappings on the complex unit disc
p-Summing Bloch mappings on the complex unit disc
Abstract The notion of p -summing Bloch mapping from the complex unit open disc $$\mathbb {D}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>D</mml:mi> </mml:math> into a complex Banach space X is introduced for any $$1\le p\le \infty .$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>p</mml:mi> <mml:mo>≤</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>.</mml:mo> </mml:mrow> </mml:math> It is shown that the …