Weighted inequalities for some integral operators with rough kernels
- Autores
- Riveros, Maria Silvina; Urciuolo, Marta
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.
Fil: Riveros, Maria Silvina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina - Materia
-
Fractional operators
Calderón-Zygmund operators
BMO
Muckenhoupt weights - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/32162
Ver los metadatos del registro completo
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Weighted inequalities for some integral operators with rough kernelsRiveros, Maria SilvinaUrciuolo, MartaFractional operatorsCalderón-Zygmund operatorsBMOMuckenhoupt weightshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.Fil: Riveros, Maria Silvina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaVersita2014-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32162Urciuolo, Marta; Riveros, Maria Silvina; Weighted inequalities for some integral operators with rough kernels; Versita; CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print); 12; 4; 4-2014; 636-6471895-1074CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.2478/s11533-013-0362-1info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/math.2014.12.issue-4/s11533-013-0362-1/s11533-013-0362-1.xmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:21Zoai:ri.conicet.gov.ar:11336/32162instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:45:22.216CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Weighted inequalities for some integral operators with rough kernels |
| title |
Weighted inequalities for some integral operators with rough kernels |
| spellingShingle |
Weighted inequalities for some integral operators with rough kernels Riveros, Maria Silvina Fractional operators Calderón-Zygmund operators BMO Muckenhoupt weights |
| title_short |
Weighted inequalities for some integral operators with rough kernels |
| title_full |
Weighted inequalities for some integral operators with rough kernels |
| title_fullStr |
Weighted inequalities for some integral operators with rough kernels |
| title_full_unstemmed |
Weighted inequalities for some integral operators with rough kernels |
| title_sort |
Weighted inequalities for some integral operators with rough kernels |
| dc.creator.none.fl_str_mv |
Riveros, Maria Silvina Urciuolo, Marta |
| author |
Riveros, Maria Silvina |
| author_facet |
Riveros, Maria Silvina Urciuolo, Marta |
| author_role |
author |
| author2 |
Urciuolo, Marta |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Fractional operators Calderón-Zygmund operators BMO Muckenhoupt weights |
| topic |
Fractional operators Calderón-Zygmund operators BMO Muckenhoupt weights |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators. Fil: Riveros, Maria Silvina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina Fil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina |
| description |
In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-04 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/32162 Urciuolo, Marta; Riveros, Maria Silvina; Weighted inequalities for some integral operators with rough kernels; Versita; CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print); 12; 4; 4-2014; 636-647 1895-1074 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/32162 |
| identifier_str_mv |
Urciuolo, Marta; Riveros, Maria Silvina; Weighted inequalities for some integral operators with rough kernels; Versita; CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print); 12; 4; 4-2014; 636-647 1895-1074 CONICET Digital CONICET |
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eng |
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eng |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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