Results 31 to 40 of about 1,960 (141)

Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces

open access: yes, 2017
On the product of m weighted Morrey spaces, some m -linear operators are shown to be bounded. The operator norm is calculated explicitly. It may be interesting to compare the results for the Hardy operator and the ones for the Hardy-Littlewood maximal ...
Tserendorj Batbold, Y. Sawano
semanticscholar   +1 more source

Sparse bilinear forms for Bochner Riesz multipliers and applications

open access: yesTransactions of the London Mathematical Society, Volume 4, Issue 1, Page 110-128, December 2017., 2017
Abstract We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way,
Cristina Benea   +2 more
wiley   +1 more source

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

Boundedness of Lusin‐area and gλ* functions on localized Morrey‐Campanato spaces over doubling metric measure spaces

open access: yesJournal of Function Spaces, Volume 9, Issue 3, Page 245-282, 2011., 2011
Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey‐Campanato spaces ερα,p(χ) and Morrey‐Campanato‐BLO spaces ε̃ρα,p(χ) when α ∈ (−∞, 0) and p ∈ [1, ∞).
Haibo Lin   +3 more
wiley   +1 more source

The Boundedness of Commutators of Singular Integral Operators with Besov Functions

open access: yesJournal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010
In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao   +2 more
wiley   +1 more source

Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures

open access: yesJournal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009
Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
wiley   +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

A boundedness result for Marcinkiewicz integral operator

open access: yesOpen Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

A note on the cone restriction conjecture in the cylindrically symmetric case [PDF]

open access: yes, 2008
In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on
Shao, Shuanglin
core   +3 more sources

The Riesz “rising sun” lemma for arbitrary Borel measures with some applications

open access: yesJournal of Function Spaces, Volume 5, Issue 3, Page 319-331, 2007., 2007
The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1, 1) type inequality for the corresponding Hardy‐Littlewood maximal operator.
Lasha Ephremidze   +3 more
wiley   +1 more source

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