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Some characterizations of boundedness in Mp(X) will be described, where Mp(X)  (0<p<∞) are F-algebras which consist of holomorphic functions defined by maximal functions

journal of function spaces

Bounded Subsets of Classes <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msup><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mfenced separators="|"><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:mfenced></mml:math> of Holomorphic Functions

Bounded Subsets of Classes MpX of Holomorphic Functions