The Riesz Transform of Codimension Smaller Than One and the Wolff Energy

Autor*innen

• Benjamin Jaye
• Fedor Nazarov
• Maria Carmen Reguera
• Xavier Tolsa

Parameter

• 97 Seiten
• 4 Lesestunden

• Mathematik
• Natur

Mehr zum Buch

The authors characterize the non-negative locally finite non-atomic Borel measures $\\\mu $ in $\\\mathbb R^d$ for which the associated $s$-Riesz transform is bounded in $L^2(\\\mu )$ 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.

• Sprache: Englisch
• Erscheinungsdatum: 2020
• Einband: Paperback