Lacunary series in quaternion Bp,qspaces

DOI10.1080/17476930902999116zbMath1178.46020OpenAlexW2080897722MaRDI QIDQ5191227

Ahmed El-Sayed Ahmed

Publication date: 29 July 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902999116

zbMATH Keywords

Hadamard gapsquaternion analysis\(B^{p,q}\) spaces

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Banach spaces of continuous, differentiable or analytic functions (46E15) Besov spaces and (Q_p)-spaces (30H25)

Related Items (4)

Hyperholomorphic \(Q\) classes ⋮ Hadamard products and space ⋮ Some characterizations of weighted holomorphic function classes by univalent function classes ⋮ Characterizations for general Besov-type space in Clifford analysis

Cites Work

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• On Bloch-type functions with Hadamard gaps
• On strict inclusions of weighted dirichlet spaces of monogenic functions
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• Power series representation for monogenic functions in based on a permutational product
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• Carleson measure and monogenic functions
• A CHARACTERIZATION OF BLOCH FUNCTIONS
• Besov-type characterisations for the Bloch space
• A property of analytic functions with Hadamard gaps
• Möbius invariant spaces in the unit ball
• Characterizations for Bloch space by B^{p, q}spaces in Clifford analysis
• On Weighted α-Besov Spaces and α-Bloch Spaces of Quaternion-Valued Functions
• A GENERALIZATION OF A RESULT OF CHOA ON ANALYTIC FUNCTIONS WITH HADAMARD GAPS
• HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK

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