Restricting Riesz–Morrey–Hardy potentials
Copyright policy )Restricting Riesz–Morrey–Hardy potentials
This paper concerns the study of continuity of the Riesz operator \(I_\alpha\) of order \(\alpha\) between the Morey-Hardy space \(LH^{p,\kappa}\) and the Morey-Radon space \(L_\mu^{q,\lambda}\). More precisely, the main result established is the following. Assume \[ 0<\lambda\leq \kappa\leq n, \; 0<\alpha
- Renmin University of China China (People's Republic of)
- St. John's University United States
Morrey-Radon space, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Morrey-Hardy space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Riesz operator
Morrey-Radon space, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Morrey-Hardy space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Riesz operator
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