Results 21 to 30 of about 131 (110)

Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces

open access: yesJournal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010
We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
wiley   +1 more source

Variation inequalities related to Schrödinger operators on weighted Morrey spaces

open access: yesOpen Mathematics, 2019
This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
doaj   +1 more source

Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2023
The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj   +1 more source

Function spaces on the Koch curve

open access: yesJournal of Function Spaces, Volume 8, Issue 3, Page 287-299, 2010., 2010
We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Maryia Kabanava, Hans Triebel
wiley   +1 more source

A Beurling‐Helson type theorem for modulation spaces

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 33-41, 2009., 2009
We prove a Beurling‐Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.
Kasso A. Okoudjou, Hans Feightinger
wiley   +1 more source

On the degree of compactness of embeddings between weighted modulation spaces

open access: yesJournal of Function Spaces, Volume 6, Issue 3, Page 303-317, 2008., 2008
The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
Aicke Hinrichs   +3 more
wiley   +1 more source

On anisotropic Triebel‐Lizorkin type spaces, with applications to the study of pseudo‐differential operators

open access: yesJournal of Function Spaces, Volume 6, Issue 2, Page 107-154, 2008., 2008
A construction of Triebel‐Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a suitable decomposition function.
Lasse Borup   +2 more
wiley   +1 more source

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

A generalization of the boundedness of certain integral operators in variable Lebesgue spaces [PDF]

open access: yes, 2018
Let $A_{1},...A_{m}$ be a $n\times n$ invertible matrices.
Urciuolo, Marta Susana   +1 more
core   +1 more source

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