Title of article
Calderón–Zygmund operators on amalgam spaces and in the discrete case
Author/Authors
Norio Kikuchi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
15
From page
198
To page
212
Abstract
We prove the boundedness of Calderón–Zygmund operators on weighted amalgam spaces (Lp,
q
w)(Rn)
for 1 < p,q <∞ with Muckenhoupt weights. To do this, we show the boundedness in the discrete case,
i.e. the boundedness on
q
w(Zn). We also investigate on (Lp, ∞w )(Rn). As an application we consider an
operator related to the Navier–Stokes equation.
© 2007 Elsevier Inc. All rights reserved
Keywords
Calder?n–Zygmund operator , Amalgam space , Singular integral , Riesz transform , Discrete case , Muckenhoupt weights , Navier–Stokes equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936179
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