Results 1 to 10 of about 199 (79)

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

open access: yesJournal of Mathematical Inequalities, 2018
Let $A_{1},...A_{m}$ be a $n\times n$ invertible matrices.
Urciuolo, Marta Susana   +1 more
core   +2 more sources

Sharp multiplicative inequalities with BMO II [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
We find the best possible constant C in the inequality ‖φ‖Lr 6 C‖φ‖ p r Lp‖φ‖ 1− p r BMO for all possible values of parameters p and r such that 1 6 p < r < +∞. We employ the Bellman function technique to solve this problem. The Bellman function of three
V. Vasyunin   +2 more
semanticscholar   +1 more source

Some notes on the inclusion between Morrey spaces

open access: yesJournal of Mathematical Inequalities, 2022
In this paper, we show that the Morrey spaces M p q1(R n) cannot be contained in the weak Morrey spaces wM p q2 (R n) for q1 = q2 . We also show that the vanishing Morrey spaces V M p q(R n) are not empty and properly contained in the Morrey spaces M p q
P. E. Tuerah, Nicky K. Tumalun
semanticscholar   +1 more source

Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces [PDF]

open access: yes, 2021
We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights.
Samko, Natasha Gabatsuyevna
core   +1 more source

Generalized weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups

open access: yesJournal of Mathematical Inequalities, 2022
Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
semanticscholar   +1 more source

Two type Estimates for the Boundedness of Generalized Riesz Potential Operator in the Generalized Weighted Local Morrey Spaces [PDF]

open access: yes, 2021
In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator Iρ from the one generalized weighted local Morrey spaces M {x0} p,φ1 (w p,Rn) to the another one M {x0} q,φ2 (w q,Rn) with wq ∈ A1+ q p′ for 1 < p < q < ∞ and
A. Kucukaslan
semanticscholar   +1 more source

Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces

open access: yesOperators and Matrices, 2021
In this paper, we establish some necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on weighted central Morrey and Herz type spaces.
D. Duong, N. T. Hong
semanticscholar   +1 more source

Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents

open access: yesMathematical Inequalities & Applications, 2020
We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
semanticscholar   +1 more source

Regularity properties of Haar Frames

open access: yesComptes rendus. Mathematique, 2021
We prove that pointwise and global Hölder regularity can be characterized using the coefficients on the Haar tight frame obtained by using a finite union of shifted Haar bases, despite the fact that the elements composing the frame are discontinuous ...
S. Jaffard, Hamid Krim
semanticscholar   +1 more source

Hardy-Littlewood-Stein-Weiss type theorems for Riesz potentials and their commutators in Morrey spaces

open access: yes, 2023
In this paper, we consider weighted Morrey spaces Lp,λ,|·|γ (R). Finally we apply our results to various operators which are estimated from above by Riesz potentials.
AYKOL, Canay, HASANOV, Javanshir J.
core   +1 more source

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