Results 1 to 10 of about 18 (18)

From Hardy to Rellich inequalities on graphs

Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021
Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski   +2 more
wiley   +1 more source

Sparse bilinear forms for Bochner Riesz multipliers and applications

Transactions 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, Frédéric Bernicot, Teresa Luque   +2 more
wiley   +1 more source

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

Journal 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, Eiichi Nakai, Dachun Yang, Fernando Cobos   +3 more
wiley   +1 more source

The Boundedness of Commutators of Singular Integral Operators with Besov Functions

Journal 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, Bolin Ma, Vladimir D. Stepanov   +2 more
wiley   +1 more source

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

Journal 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

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

Journal 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, Nobuhiko Fujii, Yutaka Terasawa, Vakhtang Kokilashvili   +3 more
wiley   +1 more source

The maximal operator in weighted variable spaces Lp(⋅)

Journal of Function Spaces, Volume 5, Issue 3, Page 299-317, 2007., 2007
We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili, Natasha Samko, Stefan Samko, Vladimir D. Stepanov   +3 more
wiley   +1 more source

Weighted norm inequalities and indices

Journal of Function Spaces, Volume 4, Issue 1, Page 43-71, 2006., 2006
We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w), ?p,8(w), Gp(w) and Gp,8(w).
Joaquim Martín, Mario Milman, Fernando Cobos   +2 more
wiley   +1 more source

Strang‐Fix theory for approximation order in weighted Lp‐spaces and Herz spaces

Journal of Function Spaces, Volume 4, Issue 1, Page 7-24, 2006., 2006
In this paper, we study the Strang‐Fix theory for approximation order in the weighted Lp ‐spaces and Herz spaces.
Naohito Tomita, Hans G. Feichtinger
wiley   +1 more source