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Generalized De Leeuw Theorem
Published/Copyright:
March 4, 2010
Abstract
A new restriction for the multipliers of ๐ฟ๐(๐) to ๐ฟ๐(๐) has been introduced. Our results generalize the famous De Leeuw's theorem on the transference of Fourier multipliers between ๐ and ๐.
Received: 2004-02-07
Published Online: 2010-03-04
Published in Print: 2005-March
ยฉ Heldermann Verlag
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Articles in the same Issue
- Two-Step Systems for G-H-Relaxed Pseudococoercive Nonlinear Variational Problems Based on Projection Methods
- The Non-Vanishing of First Cohomology Groups for Certain Infinite-Dimensional Complex Manifolds
- On Some Matrix Clifford Algebras
- On the Boundedness and Compactness of Weighted Hardy Operators in Spaces ๐ฟ๐(๐ฅ)
- On the Uniqueness of the Two-Sided Ergodic Maximal Function
- Interior and Exterior Problems of Couple-Stress and Classical Elastostatics with Given Friction
- Necessary Optimality Conditions for Lipschitz Multiobjective Optimization Problems
- Uniform and ๐ฟ-Convergence of Logarithmic Means of Double WalshโFourier Series
- Generalized De Leeuw Theorem
- On One Estimate for Periodic Functions
- On the Method of Direct Products in the Theory of Quasi-Invariant Measures
- Weighted Estimates for Operators Generated by Maximal Functions on Nonhomogeneous Spaces
- Uniqueness of Non-Linear Differential Polynomials Sharing 1-Points
- Postnikov โInvariantsโ in 2004
- On ๐ -Subweakly Commuting Maps and Invariant Approximations in Banach Spaces
- Integral Inequalities for LittlewoodโPaley Operators
- Some Algebraic and Geometric Structures on Poisson Manifolds
- Integrability of the Majorant of the Fourier Series Partial Sums with Respect to Bases
- Wintner-Type Oscillation Criteria of Semilinear Elliptic Inequalities