Bloch-type space of temperature functions on a finite cylinder. Issue 3 (2007)

• Record Type: Journal Article
• Authors: López-García López-García, Marcos Marcos
• Other Names: Triebel Triebel Hans Hans Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 5:Issue 3(2007)
• Page Start: 287
• Page End: 297
• Publication Date: 2007
• Subjects: Bloch space -- duality -- temperature functions; Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2007/906973
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We define the Bloch-type space B T as the linear space of temperature functions on the cylinder S T = 𝕊 1 × ( 0, T ) such that sup ⁡ ( x, t ) ∈ T ⁡ t | ∂ u ∂ t ( x, t ) | < ∞, Ω T = [ 0, 2 ] × ( 0, T ) ; we prove that ( b 1 ( S T ) ) * = B T, where b 1 ( S T ) is the Bergman space of temperature functions on S T belonging to L 1 ( Ω T, d x d t ) .