Results 31 to 40 of about 1,361 (124)

Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent

open access: yes, 2018
We consider the generalized weighted Morrey spaces M p(·),φ ω (Ω) with variable exponent p(x) and a general function φ(x,r) defining the Morrey-type norm.
V. Guliyev   +2 more
semanticscholar   +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

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S.   +2 more
doaj   +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

Sharp Hardy Identities and Inequalities on Carnot Groups

open access: yesAdvanced Nonlinear Studies, 2021
In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
doaj   +1 more source

Weighted estimates for bilinear fractional integral operator of iterated product commutators on Morrey spaces

open access: yesJournal of Mathematical Inequalities, 2020
In this paper we prove several weighted estimates for iterated product commutators generated by BMO-functions and the bilinear fractional integral operators on Morrey spaces.
Xi ng Li, Qian un He, Dun an Yan
semanticscholar   +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

Some results for Hausdorff operators

open access: yes, 2015
In this paper, we give the sufficient conditions for the boundedness of the (fractional) Hausdorff operators on the Lebesgue spaces with power weights. In some special cases, these conditions are the same and also necessary.
G. Gao, Xiao-mei Wu, Weichao Guo
semanticscholar   +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

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

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