dc.creator | Riveros, Maria Silvina | |
dc.creator | Urciuolo, Marta | |
dc.date.accessioned | 2018-01-03T18:47:43Z | |
dc.date.accessioned | 2018-11-06T11:23:20Z | |
dc.date.available | 2018-01-03T18:47:43Z | |
dc.date.available | 2018-11-06T11:23:20Z | |
dc.date.created | 2018-01-03T18:47:43Z | |
dc.date.issued | 2014-04 | |
dc.identifier | 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 | |
dc.identifier | 1895-1074 | |
dc.identifier | http://hdl.handle.net/11336/32162 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1850327 | |
dc.description.abstract | 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. | |
dc.language | eng | |
dc.publisher | Versita | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2478/s11533-013-0362-1 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/math.2014.12.issue-4/s11533-013-0362-1/s11533-013-0362-1.xml | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Fractional operators | |
dc.subject | Calderón-Zygmund operators | |
dc.subject | BMO | |
dc.subject | Muckenhoupt weights | |
dc.title | Weighted inequalities for some integral operators with rough kernels | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |