Details

Subject(s)

• Calderón-Zygmund operator [Browse]
• Harmonic analysis [Browse]
• Laplacian operator [Browse]
• Lipschitz spaces [Browse]
• Potential theory (Mathematics) [Browse]

Author

• Nazorov, Fedor (Fedya L'vovich) [Browse]
• Reguera, Maria Carmen, 1981- [Browse]
• Tolsa, Xavier [Browse]

Series

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1293

Summary note

"Fix d [greater than or equal to] 2, and s [epsilon] (d - 1, d). We characterize the non-negative locally finite non-atomic Borel measures [mu] in Rd for which the associated s-Riesz transform is bounded in L²([mu]) in terms of the Wolff energy. This extends the range of s in which the Mateu-Prat-Verdera characterization of measures with bounded s-Riesz transform is known. As an application, we give a metric characterization of the removable sets for locally Lipschitz continuous solutions of the fractional Laplacian operator (-[delta])[infinity]/2, [infinity] [epsilon] (1, 2), in terms of a well-known capacity from non-linear potential theory. This result contrasts sharply with removability results for Lipschitz harmonic functions"-- Provided by publisher.

Notes

"Forthcoming, volume 266, number 1293."

Bibliographic references

Includes bibliographical references.

Source of description

Description based on print version record.

ISBN

9781470462499 (online)

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