Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings

DOI10.4208/ata.oa-2021-0051arXiv2004.10940OpenAlexW3018577638MaRDI QIDQ6121029

Ivana Gómez, Unnamed Author, Luis Nowak, Hugo Aimar

Publication date: 26 February 2024

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10940

zbMATH Keywords

space of homogeneous typeSobolev regularityHaar basisCalderón-Zygmund operatordyadic analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33)

Cites Work

• Calderón-Zygmund theory for operator-valued kernels
• On the Calderón-Zygmund structure of Petermichl's kernel
• On dyadic nonlocal Schrödinger equations with Besov initial data
• On the existence of certain singular integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• vector-valued singular integrals and maximal functions on spaces of homogeneous type
• Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
• On singular integrals with variable kernels
• An Extension Problem Related to the Fractional Laplacian
• On fractional uncertainty: a dyadic approach

This page was built for publication: Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings