Equality of some classical Lorentz spaces

Santiago Boza; Joaquim Martín

Equality of some classical Lorentz spaces

Santiago Boza, Joaquim Martín

Departament de Matemàtiques

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We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights. © Springer 2005.

Idioma original	Anglès
Pàgines (de-a)	225-232
Revista	Positivity
Volum	9
Estat de la publicació	Publicada - 1 de juny 2005

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title = "Equality of some classical Lorentz spaces",

abstract = "We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ari{\~n}o and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights. {\textcopyright} Springer 2005.",

keywords = "Hardy's operatoers, Lorentz spaces, Wieghts",

author = "Santiago Boza and Joaquim Mart{\'i}n",

year = "2005",

month = jun,

day = "1",

language = "English",

volume = "9",

pages = "225--232",

journal = "Positivity",

issn = "1385-1292",

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TY - JOUR

T1 - Equality of some classical Lorentz spaces

AU - Boza, Santiago

AU - Martín, Joaquim

PY - 2005/6/1

Y1 - 2005/6/1

N2 - We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights. © Springer 2005.

AB - We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights. © Springer 2005.

KW - Hardy's operatoers

KW - Lorentz spaces

KW - Wieghts

M3 - Article

SN - 1385-1292

VL - 9

SP - 225

EP - 232

JO - Positivity

JF - Positivity

ER -

Equality of some classical Lorentz spaces

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