Results 61 to 70 of about 3,337 (162)
Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
doaj +1 more source
The fractional integral operators on Morrey spaces with variable exponent on unbounded domains
, 2013 The boundedness of fractional integral operator on Morrey spaces with variable exponent on unbounded domains is established. Mathematics subject classification (2010): 42B20, 46E30, 47B38.
K. Ho
semanticscholar +1 more source
Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces
Turkish Journal of Mathematics, 2019 where Γβ(x) = {(y, t) ∈ R + : |x− y| < βt}. Denote Gα,1(f) = Gα(f) . The intrinsic square functions were first introduced by Wilson in order to answer a conjecture proposed by Fefferman and Stein on the boundedness of the Lusin area function S on the ...
Xiao-mei Wu, Xiao Yu
semanticscholar +1 more source
Two‐weight norm inequalities for the rough fractional integrals
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 517-524, 2001., 2001 The authors give the weighted (Lp, Lq)‐boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
wiley +1 more source
Analysis and Geometry in Metric Spaces, 2023 Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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Estimates for evolutionary partial differential equations in classical function spaces
Forum of Mathematics, Sigma, 2023 We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro +3 more
doaj +1 more source
Rough Maximal Oscillatory Singular Integral Operators [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core
L^p boundedness of discrete singular Radon transforms
, 2005 Received by the editors February 27, 2004. 1991 Mathematics Subject Classification. Primary 11L07, 42B20.
A. Ionescu, S. Wainger
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HARDY OPERATORS IN THE LOCAL ``COMPLEMENTARY" GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES
, 2020 In this paper we consider local “complementary” generalized weighted Morrey spaces M p(·),ω,φ {x0} (Ω) with variable exponent p(x) and a general function ω(r) defining the weighted Morrey-type norm.
Z. O. Azizova
semanticscholar +1 more source
Rough Marcinkiewicz integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 495-503, 2001., 2001 We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)12/, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M𝒫 for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley +1 more source