On a Class of Bilinear Pseudodifferential Operators-Reference-Cited by-同舟云学术

On a Class of Bilinear Pseudodifferential Operators

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Bényi Árpád¹,Oh Tadahiro²

Affiliation:

1. Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA 98225, USA

2. Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA

Abstract

We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander classBS1,δ0,0≤δ<1. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.

Funder

Simons Foundation

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/560976.pdf

Reference16 articles.

1. Astérisque,1978

2. Multilinear Calderón–Zygmund Theory

3. Multilinear estimates and fractional integration

4. On the Hörmander Classes of Bilinear Pseudodifferential Operators

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