On the Jacobian equation and the Hardy space H^1(C)

Lindberg, Sauli

doi:10.5186/aasfmd.2015.160

Cited by 10 publications

(12 citation statements)

References 39 publications

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“…En 1899 y 1901 Reuter registra a la especie T. pallidicornis y T. ruficornis viridicornis en Argelia, mientras que Carvalho & Wagner en 1957, encuentran a T. pallidicornis en las islas Canarias, Egipto y Francia. Lindberg (1958) la cita en las islas Cabo Verde (oeste-noroeste de Senegal). Carvalho et al (1960) registran la misma especie en Sur África, Cabo Province, Rodesia.…”

Section: Introductionunclassified

“…Carvalho & Gross (1980) la reportan en Australia. En Brasil, Trigonotylus Fieber 1858 en plantas de las familias: Brassicaceae y Poaceae (= Gramineae) en las especies: Achnatherum splendens, Agropyron sp., Cynodon dactylon, Eleusine indica, Zea sp., Juncus sp., Chloris sp., Carvalho (1975aCarvalho ( y 1975b cita a Chloris inflata, Alayo (1974), Lindberg (1958) registran a Cynodon dactylon y Maldonado-Capriles (1969) reporta a Eleusine indica. En Calabozo estado Guárico, Venezuela, T. tenuis, se ha encontrado sobre malezas de la familia Poaceae (=Gramineae) sobre todo en la especie Leptochloa filiformis (Lam.)…”

Section: Introductionunclassified

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Fluctuación poblacional de Trigonotylus tenuis en arroz en Calabozo Estado Guárico, Venezuela

Vivas-Carmona

Astudillo-García

2017

J. Selva Andina Biosph.

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Trigonotylus tenuis realizado en campos de arroz con riego, ubicados en parcelas del Sistema de Riego Río Guárico (S.R.R.G) y campos de la Estación Experimental del INIA Guárico. Para el trabajo de campo, se empleó la malla entomológica realizando cinco pases de red entomológica por punto muestreado y el daño se determinó en 0.5 m 2. La chinche presentó picos poblacionales durante los meses de junio y julio, coincidiendo con la época de invierno y generalmente a los 30, 83 y 90 días de edad del cultivo. Su densidad poblacional se relacionó con la etapa de desarrollo del cultivo, encontrándose la mayor cantidad de insectos adultos durante las fases vegetativa y reproductiva en las principales variedades de arroz cultivadas en la zona. El porcentaje de daño en hojas afectadas por la chinche alcanzo niveles muy bajos, comprendidos entre 1.55% y 4.33% durante el periodo de lluvias de la zona. La chinche de la hoja del arroz, T. tenuis se ha conseguido en los estados Guárico y Portuguesa. Se describen las características generales del insecto y su daño en el cultivo.

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Section: Introductionunclassified

Fluctuación poblacional de Trigonotylus tenuis en arroz en Calabozo Estado Guárico, Venezuela

Vivas-Carmona

Astudillo-García

2017

J. Selva Andina Biosph.

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“…Secondly, in , there is an intimate connection between the Jacobian equation, commutator estimates and factorization theorems in Hardy and spaces [ 29 , 30 , 36 ]; an outstanding open problem in the area is to determine whether the Jacobian is onto the Hardy or space [ 14 , 31 , 38 ]. Positive partial results can be found in [ 14 , 30 , 36 , 37 ] and negative ones in [ 38 ]. We refer the reader to our forthcoming work [ 23 , 24 ] for further details and progress towards the possible non-surjectivity of the Jacobian.…”

Section: Introductionmentioning

confidence: 99%

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces

2021

Self Cite

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We study existence and regularity of solutions to the Dirichlet problem for the prescribed Jacobian equation, $$\det D u =f$$ det D u = f , where f is integrable and bounded away from zero. In particular, we take $$f\in L^p$$ f ∈ L p , where $$p>1$$ p > 1 , or in $$L\log L$$ L log L . We prove that for a Baire-generic f in either space there are no solutions with the expected regularity.

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“…griseovirens is separated from subspecies flavescens by its habit (having shorter height, usually inrolled and filiform basal and upper leaves, and smaller panicles), and by its longer spikelets, aristules, and awns. Chrtek (1967c) recognized this taxon at specific rank, as did Lindberg (1932)…”

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confidence: 96%

“…The detailed study of the morphology of the specimens belonging to this taxon indicates that these supposed diagnostic characters are not exclusive to them, and that they also occur indiscriminately in other specimens from Europe and the Mediterranean region. Maire and Trabut (Maire, 1932) and Lindberg (1932) described other species and varieties from northern Africa, namely Trisetum macratherum, T. flavescens var. africanum, and T. griseovirens.…”

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confidence: 99%

Taxonomic Revision ofTrisetumSect.Trisetum(Poaceae: Pooideae: Aveninae) from Eurasia and North Africa

Barberá

Romero-Zarco

Aedo

2018

Annals of the Missouri Botanical Garden

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A taxonomic revision of Trisetum Pers. sect. Trisetum is presented. We include descriptions and synonyms of each taxon from a study of 894 vouchers from 45 herbaria. Detailed morphometric descriptions, illustrations, distribution maps, an identification key, and habitat data are given for each taxon. Morphometric variation of the main characters is shown by box plots. Thirty-one names are lectotypified. Two neotypes are designated. We recognize eight species of Trisetum in the section: T. alpestre (Host) P. Beauv., T. altaicum Stephan ex Roshev., T. bertolonii Jonsell, T. flavescens (L.) P. Beauv., T. fuscum Schult., T. glaciale (Bory) Boiss., T. gracile (Moris) Boiss., and T. laconicum Boiss. & Orph. Two infraspecific taxa of T. flavescens are recognized (T. flavescens subsp. flavescens and T. flavescens subsp. griseovirens (H. Lindb.) Dobignard). Six of the eight species of Trisetum sect. Trisetum are endemic to the different European mountain ranges, while T. altaicum grows in the Altai and Tian Shan Mountains, and in the mountains of northern Mongolia and southern Russia, and T. flavescens is widespread in temperate regions of Europe, western Asia, and northern Africa. Vegetative propagation by pseudoviviparism is observed for the first time in specimens of T. flavescens subsp. flavescens.

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On the Jacobian equation and the Hardy space H^1(C)

Cited by 10 publications

References 39 publications

Fluctuación poblacional de Trigonotylus tenuis en arroz en Calabozo Estado Guárico, Venezuela

Fluctuación poblacional de Trigonotylus tenuis en arroz en Calabozo Estado Guárico, Venezuela

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces

Taxonomic Revision ofTrisetumSect.Trisetum(Poaceae: Pooideae: Aveninae) from Eurasia and North Africa

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