Results 11 to 20 of about 3,904 (117)

Sharp constants in the classical weak form of the John-Nirenberg inequality [PDF]

Proceedings of the London Mathematical Society, 2013
Oberwolfach Preprints;2013 ...
Vasyunin, Vasily, Volberg, Alexander
core   +6 more sources

The Existence and Multiplicity of Solutions for p(x)‐Laplacian‐Like Neumann Problems

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In the present paper, in view of the variational approach, we discuss the Neumann problems with p(x)‐Laplacian‐like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under ...
Changmu Chu, Ying Tang, John R. Akeroyd
wiley   +1 more source

History and the Study of Religion. Prophecy, Imagination and Religion in the Granadan Lead Books, the Works of Jacobus Palaeologus and of Nicholas of Cusa*

Journal of Religious History, Volume 46, Issue 4, Page 675-690, December 2022., 2022
This article challenges the observation that historians and the discipline of History have not been helpful in addressing some of the important challenges in the Study of Religion by concentrating on “the local” and on deconstruction rather than on construction and “the global.” By undertaking a cross‐cultural case study — Medieval and Early Modern ...
Gerard Wiegers
wiley   +1 more source

Maximal regularity for the Cauchy problem of the heat equation in BMO

Mathematische Nachrichten, Volume 295, Issue 7, Page 1406-1442, July 2022., 2022
Abstract We consider maximal regularity for the Cauchy problem of the heat equation in a class of bounded mean oscillations (BMO$BMO$). Maximal regularity for non‐reflexive Banach spaces is not obtained by the established abstract theory. Based on the symmetric characterization of BMO$BMO$‐expression, we obtain maximal regularity for the heat equation ...
Takayoshi Ogawa, Senjo Shimizu
wiley   +1 more source

The Commutators of Multilinear Maximal and Fractional‐Type Operators on Central Morrey Spaces with Variable Exponent

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We show that the maximal operator associated with multilinear Calderón‐Zygmund singular integrals and its commutators are bounded on products of central Morrey spaces with variable exponent. Moreover, some bounded properties are obtained for the commutators of multilinear Calderón‐Zygmund operators as well as for the corresponding fractional integrals.
Liwei Wang, Dumitru Motreanu
wiley   +1 more source

Atomic Decompositions and John‐Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Let θ ≥ 0 and p(·) be a variable exponent, and we introduce a new class of function spaces Lp(·),θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ = 0 and grand Lebesgue spaces with p(·) ≡ p and θ = 1. Based on the new spaces, we introduce a kind of Hardy‐type spaces, grand martingale Hardy spaces with ...
Libo Li, Zhiwei Hao, Tianqing An
wiley   +1 more source

Weighted Central BMO Spaces and Their Applications

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector‐valued commutators on weighted Herz spaces is also considered.
Huan Zhao, Zongguang Liu, Andrea Scapellato   +2 more
wiley   +1 more source

BMO Functions Generated by AX(ℝn) Weights on Ball Banach Function Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
Let X be a ball Banach function space on ℝn. We introduce the class of weights AX(ℝn). Assuming that the Hardy‐Littlewood maximal function M is bounded on X and X′, we obtain that BMO(ℝn) = {αlnω : α ≥ 0, ω ∈ AX(ℝn)}. As a consequence, we have BMOℝn=αlnω:α≥0,ω∈ALp·ℝnℝn, where Lp(·)(ℝn) is the variable exponent Lebesgue space.
Ruimin Wu, Songbai Wang, Acu Ana Maria
wiley   +1 more source

BMO spaces for nondoubling metric measure spaces [PDF]

, 2019
In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions ...
Kosz, Dariusz
core   +3 more sources