Boundedness of singular integrals on C^{1,alpha} intrinsic graphs in the Heisenberg group

Vasileios Chousionis; Katrin Faessler; Tuomas Orponen

doi:10.1016/j.aim.2019.106745

Boundedness of singular integrals on C^{1,alpha} intrinsic graphs in the Heisenberg group

Vasileios Chousionis, Katrin Faessler, Tuomas Orponen

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › Scientific › peer-review

Original language	English
Article number	106745
Journal	Advances in Mathematics
Volume	354
Number of pages	45
ISSN	0001-8708
DOIs	https://doi.org/10.1016/j.aim.2019.106745
Publication status	Published - 1 Oct 2019
MoE publication type	A1 Journal article-refereed

Fields of Science

Singular integrals
Heisenberg group
Removable sets for harmonic functions
LIPSCHITZ GRAPHS
RIESZ TRANSFORM
RECTIFIABILITY
OPERATORS
111 Mathematics

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10.1016/j.aim.2019.106745

Chousionis_Fassler_Orponen_Singular_IntegralsAccepted author manuscript, 428 KBLicence: CC BY-NC-ND

Quantitative rectifiability of sets and measures in Euclidean spaces and Heisenberg groups
Orponen, T. (Project manager), Bate, D. (Participant) & Rossi, E. (Participant)
01/01/2017 → 31/12/2019
Project: University of Helsinki Three-Year Research Project

Cite this

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title = "Boundedness of singular integrals on C^{1,alpha} intrinsic graphs in the Heisenberg group",

keywords = "Singular integrals, Heisenberg group, Removable sets for harmonic functions, LIPSCHITZ GRAPHS, RIESZ TRANSFORM, RECTIFIABILITY, OPERATORS, 111 Mathematics",

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year = "2019",

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language = "English",

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T1 - Boundedness of singular integrals on C^{1,alpha} intrinsic graphs in the Heisenberg group

AU - Chousionis, Vasileios

AU - Faessler, Katrin

AU - Orponen, Tuomas

PY - 2019/10/1

Y1 - 2019/10/1

KW - Singular integrals

KW - Heisenberg group

KW - Removable sets for harmonic functions

KW - LIPSCHITZ GRAPHS

KW - RIESZ TRANSFORM

KW - RECTIFIABILITY

KW - OPERATORS

KW - 111 Mathematics

U2 - 10.1016/j.aim.2019.106745

DO - 10.1016/j.aim.2019.106745

M3 - Article

SN - 0001-8708

VL - 354

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 106745

ER -

Boundedness of singular integrals on C^{1,alpha} intrinsic graphs in the Heisenberg group

Fields of Science

Access to Document

Projects

Quantitative rectifiability of sets and measures in Euclidean spaces and Heisenberg groups

Cite this