Boundedness of multidimensional Hausdorff operators on $ L^ 1$ and $ H^ 1$ spaces

E. Liflyand

Boundedness of multidimensional Hausdorff operators on $ L^ 1$ and $ H^ 1$ spaces

E. Liflyand

Department of Mathematics

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

Abstract

For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H1 by means of atomic decomposition.

Original language	American English
Journal	arXiv preprint arXiv:0802.0598
State	Published - 2008

Cite this

@article{02723f08aa2840bca5e80681ab5b9abc,

title = "Boundedness of multidimensional Hausdorff operators on \$ L\textasciicircum{} 1\$ and \$ H\textasciicircum{} 1\$ spaces",

abstract = "For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H1 by means of atomic decomposition.",

author = "E. Liflyand",

year = "2008",

language = "American English",

journal = "arXiv preprint arXiv:0802.0598",

}

TY - JOUR

T1 - Boundedness of multidimensional Hausdorff operators on $ L^ 1$ and $ H^ 1$ spaces

AU - Liflyand, E.

PY - 2008

Y1 - 2008

N2 - For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H1 by means of atomic decomposition.

AB - For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H1 by means of atomic decomposition.

UR - https://scholar.google.co.il/scholar?q=Boundedness+of+multidimensional+Hausdorff+operators+on+L1+and+H1+spaces&btnG=&hl=en&as_sdt=0%2C5

M3 - Article

JO - arXiv preprint arXiv:0802.0598

JF - arXiv preprint arXiv:0802.0598

ER -

Boundedness of multidimensional Hausdorff operators on $ L^ 1$ and $ H^ 1$ spaces

Abstract

Other files and links

Fingerprint

Cite this