Equality of some classical Lorentz spaces

Santiago Boza; Joaquim Martín

Equality of some classical Lorentz spaces

Santiago Boza, Joaquim Martín

Department of Mathematics

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Abstract

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.

Original language	English
Pages (from-to)	225-232
Journal	Positivity
Volume	9
Publication status	Published - 1 Jun 2005

Keywords

Hardy's operatoers
Lorentz spaces
Wieghts

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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.",

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

year = "2005",

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day = "1",

language = "English",

volume = "9",

pages = "225--232",

journal = "Positivity",

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T1 - Equality of some classical Lorentz spaces

AU - Boza, Santiago

AU - Martín, Joaquim

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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

Abstract

Keywords

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