scholarly journals Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Öznur Kulak ◽  
Ahmet Turan Gürkanlı
Keyword(s):  
Variable Exponent ◽  
Wiener Amalgam Spaces ◽  
Amalgam Spaces ◽  
Bilinear Multipliers

scholarly journals On Variable Exponent Amalgam Spaces

2012 ◽  
Vol 20 (3) ◽  
pp. 5-20 ◽  
Author(s):  
İsmail Aydin
Keyword(s):  
Lebesgue Space ◽  
Variable Exponent ◽  
Weighted Lebesgue Space ◽  
Lebesgue Spaces ◽  
Wiener Amalgam Spaces ◽  
Local Component ◽  
Variable Exponent Lebesgue Space ◽  
New Family ◽  
Amalgam Spaces ◽  
Weighted Variable

Abstract We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(.)w ;Lqv) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(.)w (ℝn) and the global component is a weighted Lebesgue space Lqv (ℝn) : We investigate the properties of the spaces W(Lp(.)w ;Lqv): We also present new Hölder-type inequalities and embeddings for these spaces.

p-FRAMES FOR SUBSPACES OF WIENER AMALGAMS ON A LOCALLY COMPACT ABELIAN GROUP

2003 ◽  
Vol 01 (04) ◽  
pp. 481-489
Author(s):  
S. S. PANDEY
Keyword(s):  
Abelian Group ◽  
Compact Abelian Group ◽  
Closed Subspace ◽  
Locally Compact Abelian Group ◽  
Locally Compact ◽  
Wiener Amalgam Spaces ◽  
Amalgam Spaces

We prove a theorem to characterize the p-frames for a shift invariant closed subspace of Wiener amalgam spaces [Formula: see text], 1 ≤ p ≤ q ≤ ∞, [Formula: see text] being a locally compact abelian group. Also, we show that a collection of translates under approximate conditions generaltes a p-frames for the space [Formula: see text].

scholarly journals Strong Summability of Fourier Transforms at Lebesgue Points and Wiener Amalgam Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Ferenc Weisz
Keyword(s):  
Fourier Series ◽  
Fourier Transforms ◽  
Lebesgue Point ◽  
Strong Summability ◽  
Wiener Amalgam Spaces ◽  
Wiener Amalgam Space ◽  
Almost Everywhere ◽  
Lebesgue Points ◽  
Amalgam Spaces

We characterize the set of functions for which strong summability holds at each Lebesgue point. More exactly, iffis in the Wiener amalgam spaceW(L1,lq)(R)andfis almost everywhere locally bounded, orf∈W(Lp,lq)(R)  (1<p<∞,1≤q<∞), then strongθ-summability holds at each Lebesgue point off. The analogous results are given for Fourier series, too.

scholarly journals Inclusion relations between Lp-Sobolev and Wiener amalgam spaces

2015 ◽  
Vol 268 (1) ◽  
pp. 239-254 ◽  
Author(s):  
Jayson Cunanan ◽  
Masaharu Kobayashi ◽  
Mitsuru Sugimoto
Keyword(s):  
Wiener Amalgam Spaces ◽  
Inclusion Relations ◽  
Amalgam Spaces

scholarly journals Changes of variables in modulation and Wiener amalgam spaces

2011 ◽  
Vol 284 (16) ◽  
pp. 2078-2092 ◽  
Author(s):  
Michael Ruzhansky ◽  
Mitsuru Sugimoto ◽  
Joachim Toft ◽  
Naohito Tomita
Keyword(s):  
Wiener Amalgam Spaces ◽  
Amalgam Spaces

scholarly journals Hausdorff operators on modulation and Wiener amalgam spaces

2018 ◽  
Vol 9 (3) ◽  
pp. 398-412 ◽  
Author(s):  
Guoping Zhao ◽  
Dashan Fan ◽  
Weichao Guo
Keyword(s):  
Wiener Amalgam Spaces ◽  
Hausdorff Operators ◽  
Amalgam Spaces

scholarly journals Weighted variable exponent amalgam spaces $W(L^{p(x)},L_w^q)$

2012 ◽  
Vol 47 (1) ◽  
pp. 165-174 ◽  
Author(s):  
Ismail Aydin ◽  
A. Turan Gürkanli
Keyword(s):  
Variable Exponent ◽  
Amalgam Spaces ◽  
Weighted Variable
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