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Pregled bibliografske jedinice broj: 792297

Dyadic triangular Hilbert transform of two general and one not too general function


Kovač, Vjekoslav; Thiele, Christoph; Zorin-Kranich, Pavel
Dyadic triangular Hilbert transform of two general and one not too general function // Forum of mathematics, Sigma, 3 (2015), e25, 27 doi:10.1017/fms.2015.25 (međunarodna recenzija, članak, znanstveni)


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Naslov
Dyadic triangular Hilbert transform of two general and one not too general function

Autori
Kovač, Vjekoslav ; Thiele, Christoph ; Zorin-Kranich, Pavel

Izvornik
Forum of mathematics, Sigma (2050-5094) 3 (2015); E25, 27

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
singular integral ; bilinear Hilbert transform ; dyadic model

Sažetak
The so-called triangular Hilbert transform is an elegant trilinear singular integral form which specializes to many well-studied objects of harmonic analysis. We investigate Lp bounds for a dyadic model of this form in the particular case when one of the functions on which it acts is essentially one dimensional. This special case still implies dyadic analogues of boundedness of the Carleson maximal operator and of the uniform estimates for the one-dimensional bilinear Hilbert transform.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Vjekoslav Kovač (autor)

Poveznice na cjeloviti tekst rada:

doi doi.org journals.cambridge.org

Citiraj ovu publikaciju:

Kovač, Vjekoslav; Thiele, Christoph; Zorin-Kranich, Pavel
Dyadic triangular Hilbert transform of two general and one not too general function // Forum of mathematics, Sigma, 3 (2015), e25, 27 doi:10.1017/fms.2015.25 (međunarodna recenzija, članak, znanstveni)
Kovač, V., Thiele, C. & Zorin-Kranich, P. (2015) Dyadic triangular Hilbert transform of two general and one not too general function. Forum of mathematics, Sigma, 3, e25, 27 doi:10.1017/fms.2015.25.
@article{article, author = {Kova\v{c}, Vjekoslav and Thiele, Christoph and Zorin-Kranich, Pavel}, year = {2015}, pages = {27}, DOI = {10.1017/fms.2015.25}, chapter = {e25}, keywords = {singular integral, bilinear Hilbert transform, dyadic model}, journal = {Forum of mathematics, Sigma}, doi = {10.1017/fms.2015.25}, volume = {3}, issn = {2050-5094}, title = {Dyadic triangular Hilbert transform of two general and one not too general function}, keyword = {singular integral, bilinear Hilbert transform, dyadic model}, chapternumber = {e25} }
@article{article, author = {Kova\v{c}, Vjekoslav and Thiele, Christoph and Zorin-Kranich, Pavel}, year = {2015}, pages = {27}, DOI = {10.1017/fms.2015.25}, chapter = {e25}, keywords = {singular integral, bilinear Hilbert transform, dyadic model}, journal = {Forum of mathematics, Sigma}, doi = {10.1017/fms.2015.25}, volume = {3}, issn = {2050-5094}, title = {Dyadic triangular Hilbert transform of two general and one not too general function}, keyword = {singular integral, bilinear Hilbert transform, dyadic model}, chapternumber = {e25} }

Časopis indeksira:


  • Scopus


Citati:





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