Results 41 to 50 of about 1,351 (121)

Dual of modulation spaces

open access: yesJournal of Function Spaces, Volume 5, Issue 1, Page 1-8, 2007., 2007
The aim of this paper is the study of the dual of modulation spaces Mp,q(Rd) for 0 < p, q < ∞.
Masaharu Kobayashi, Hans Triebel
wiley   +1 more source

Modulation spaces Mp,q for 0 < p, q?8

open access: yesJournal of Function Spaces, Volume 4, Issue 3, Page 329-341, 2006., 2006
The purpose of this paper is to construct modulation spaces Mp,q(Rd) for general 0 < p, q?8, which coincide with the usual modulation spaces when 1?p,q?8, and study their basic properties including their completeness. Given any g?S(Rd) such that supp g ???{?||?|?1} and ?k?Zd g (?-ak)=1, our modulation space consists of all tempered distributions f such
Masaharu Kobayashi, Hans Triebel
wiley   +1 more source

O'Neil Inequality for Convolutions Associated with Gegenbauer Differential Operator and some Applications

open access: yesJournal of Mathematical Study, 2020
In this paper we prove an O’Neil inequality for the convolution operator (G-convolution) associated with the Gegenbauer differential operator Gλ. By using an O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the G ...
Vagif S. Guliyev sci
semanticscholar   +1 more source

Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces [PDF]

open access: yesAnnales Fennici Mathematici, 2019
In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, we show that Riesz potential Iα is continuous ‖Iα f‖ M λ∗ q,∞(dμ) . ‖μ‖ 1/q β ‖ f‖Mλp,∞(dν) if and only if the Radon measure dμ supported
M. F. Almeida, Lidiane S. M. Lima
semanticscholar   +1 more source

Generalized weighted Besov spaces on the Bessel hypergroup

open access: yesJournal of Function Spaces, Volume 4, Issue 1, Page 91-111, 2006., 2006
In this paper we study generalized weighted Besov type spaces on the Bessel‐Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.
Miloud Assal   +2 more
wiley   +1 more source

The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)

open access: yesJournal of Function Spaces, Volume 3, Issue 2, Page 163-181, 2005., 2005
The paper treats time‐frequency analysis of scalar‐valued zero mean Gaussian stochastic processes on ℝd. We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of the process exist as finite variance stochastic Riemann integrals, each of which defines a stochastic
Patrik Wahlberg, Hans Feichtinger
wiley   +1 more source

Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces

open access: yes, 2016
We establish the Hardy-Littlewood-Pólya inequality, the Hardy inequality and the Hilbert inequality on block spaces. Furthermore, we also have the boundedness of the Hausdorff operators on block spaces.
K. Ho
semanticscholar   +1 more source

Weighted multilinear p-adic Hardy operators and commutators

open access: yesOpen Mathematics, 2017
In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
doaj   +1 more source

Some estimates of Hardy operators and their commutators on Morrey-Herz spaces

open access: yes, 2017
In this paper, we study the boundedness of p -adic Hardy operators H p and H p,∗ on the p -adic Morrey-Herz space. Furthermore, we establish the Lipschitz estimates for commutators of p -adic Hardy operators H p b and H p,∗ b on the p -adic function ...
G. Gao, Y. Zhong
semanticscholar   +1 more source

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