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Sobolev Spaces with Muckenhoupt Weights, Singularities and Inequalities
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Dorothee D. Haroske
Published/Copyright:
March 10, 2010
Abstract
We use the recently introduced concept of growth envelopes to characterize weighted spaces of type 
, where 𝑤 belongs to some Muckenhoupt 𝐴𝑝 class, and discuss some applications.
Received: 2007-09-11
Published Online: 2010-03-10
Published in Print: 2008-June
© Heldermann Verlag
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Articles in the same Issue
- Maximal and Potential Operators in Variable Exponent Morrey Spaces
- On the Essential Norm for the Hilbert Transforms in 𝐿𝑝(𝑥) Spaces
- Turbulence of Real Functions
- An Analytic Proof of the Matrix Spectral Factorization Theorem
- On Estimating the Approximation of Locally Summable Functions by Gegenbauer Singular Integrals
- Sobolev Spaces with Muckenhoupt Weights, Singularities and Inequalities
- Wavelets and Modular Inequalities in Variable 𝐿𝑝 Spaces
- A New Approach to the Sawyer and Sinnamon Characterizations of Hardy's Inequality for Decreasing Functions
- A Note on Maximal Operator on 𝐿𝑝(𝑡) (Ω)Spaces
- On Absolutely Nonmeasurable Sets and Functions
- On Fractional Integrals on the Plane Curves of Finite Length
- Essential Spectrum and Exponential Decay Estimates of Solutions of Elliptic Systems of Partial Differential Equations. Applications to Schrödinger and Dirac Operators
- Compact Commutators on Morrey Spaces with Non-Doubling Measures
- The Boundedness of Maximal Functions in Orlicz–Campanato Spaces of Homogeneous Type
- Wavelet Bases in Lorentz and Zygmund Spaces
