Results 11 to 20 of about 131 (110)

The John–Nirenberg Inequality of BLO With Hausdorff Content

Journal of Function Spaces
MSC2020 Classification: 42B35, 28A12 ...
Chenglong Fang
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Local Well-Posedness for the Fourth-Order Schrödinger Equation With Quadratic Derivative Nonlinearities in Fourier–Lebesgue Spaces

Journal of Function Spaces
MSC2020 Classification: 35G25, 35Q55, 42B35 ...
Long Xiao, Ting Chen
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A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Open Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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Pointwise Multipliers on Weak Morrey Spaces

Analysis and Geometry in Metric Spaces, 2020
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
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θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

Open Mathematics, 2018
The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
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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

Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces

Analysis and Geometry in Metric Spaces, 2017
We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
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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

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

Demonstratio Mathematica, 2019
We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
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Sharp Hardy Identities and Inequalities on Carnot Groups

Advanced 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
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