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Integrating Over the Inverse Image of Functions in the Besov Space
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Julio C. Ramos-Fernández
Published/Copyright:
March 10, 2010
Abstract
Let 𝔻 be the open unit disk in the complex plane. For ε > 0 we consider the sector ∑ε = {𝑧 : |arg 𝑧| < ε}. We prove that for certain classes of functions 𝑓 in the Besov space
(𝔻) such that 𝑓(0) = 0, the
norm is obtained by integration over 𝑓–1(∑ε).
Key words and phrases:: Besov space; conformal mapping
Received: 2006-11-16
Published Online: 2010-03-10
Published in Print: 2008-March
© Heldermann Verlag
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Articles in the same Issue
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- On the Uniqueness of Meromorphic Functions That Share Two Sets
- Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces
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- A Measure Theoretical Version of the Aleksandrov Theorem
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- Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3
- On Some Properties of the Dirichlet Problem at Resonance
- Gröbner Bases for the Modules Over Noetherian Polynomial Commutative Rings
- Singular 2D Behaviors: Homologies
- Integrating Over the Inverse Image of Functions in the Besov Space
- The Fourth Order of Accuracy Decomposition Scheme for Abstract Hyperbolic Equation
- On a Generalization of Partial Isometries in Banach Spaces
- A Generalized Mandelbrot Set of Polynomials of Type 𝐸𝑑 for Bicomplex Numbers