Bloch space

noun

The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded.

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Meanings

nounBloch space (plural Bloch spaces)

plural Bloch spaces

  1. mathematicsThe space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded.

Origin

Named after the mathematician André Bloch.

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Cite this entry
APA

Bloch space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Bloch%20space

MLA

“Bloch space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Bloch%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bloch space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Bloch%20space.

Source: Bloch space on Wiktionary, CC BY-SA 4.0.