arrow
Volume 40, Issue 2
The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces

Huoxiong Wu & Weijin Yan

Anal. Theory Appl., 40 (2024), pp. 172-190.

Published online: 2024-07

Export citation
  • Abstract

This paper obtains a criterion on the weighted $L^p$-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough kernels belonging to the block spaces.

  • AMS Subject Headings

42B20, 42B25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{ATA-40-172, author = {Wu , Huoxiong and Yan , Weijin}, title = {The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces}, journal = {Analysis in Theory and Applications}, year = {2024}, volume = {40}, number = {2}, pages = {172--190}, abstract = {

This paper obtains a criterion on the weighted $L^p$-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough kernels belonging to the block spaces.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2022-0022}, url = {http://global-sci.org/intro/article_detail/ata/23233.html} }
TY - JOUR T1 - The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces AU - Wu , Huoxiong AU - Yan , Weijin JO - Analysis in Theory and Applications VL - 2 SP - 172 EP - 190 PY - 2024 DA - 2024/07 SN - 40 DO - http://doi.org/10.4208/ata.OA-2022-0022 UR - https://global-sci.org/intro/article_detail/ata/23233.html KW - Multilinear oscillatory integrals, block space, BMO function, radial weights. AB -

This paper obtains a criterion on the weighted $L^p$-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough kernels belonging to the block spaces.

Wu , Huoxiong and Yan , Weijin. (2024). The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces. Analysis in Theory and Applications. 40 (2). 172-190. doi:10.4208/ata.OA-2022-0022
Copy to clipboard
The citation has been copied to your clipboard