Displaying similar documents to “Subspaces H E p , q , α of mixed-norm spaces H p , q , α of holomorphic functions”

Shilov boundary for holomorphic functions on some classical Banach spaces

María D. Acosta, Mary Lilian Lourenço (2007)

Studia Mathematica

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Let ( B X ) be the Banach space of all bounded and continuous functions on the closed unit ball B X of a complex Banach space X and holomorphic on the open unit ball, with sup norm, and let u ( B X ) be the subspace of ( B X ) of those functions which are uniformly continuous on B X . A subset B B X is a boundary for ( B X ) if f = s u p x B | f ( x ) | for every f ( B X ) . We prove that for X = d(w,1) (the Lorentz sequence space) and X = C₁(H), the trace class operators, there is a minimal closed boundary for ( B X ) . On the other hand, for X = , the Schreier...

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

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A Marchaud type inequality

Jorge Bustamante (2022)

Commentationes Mathematicae Universitatis Carolinae

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We present a new Marchaud type inequality in 𝕃 p spaces.