arXiv Open Access 2013

A two weight theorem for fractional singular integrals in higher dimension

Eric T. Sawyer Chun-Yen Shen Ignacio Uriarte-Tuero

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Abstrak

We prove a two weight theorem for alpha-fractional singular integrals in higher dimensions, assuming energy side conditions. We also show that reversal of the Energy Lemma fails for the vector Riesz transforms in the plane, as well as other collections of convolution Calderon-Zygmund operators in the plane, and when alpha = 1, even for the infinite vector of all classical 1-fractional Calderon-Zygmund operators.

Topik & Kata Kunci

math.CA

Penulis (3)

Eric T. Sawyer

Chun-Yen Shen

Ignacio Uriarte-Tuero

Format Sitasi

APA MLA BibTeX

Sawyer, E.T., Shen, C., Uriarte-Tuero, I. (2013). A two weight theorem for fractional singular integrals in higher dimension. https://arxiv.org/abs/1305.5104

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓