Results 51 to 60 of about 1,618 (104)
Stein-Weiss inequality for local mixed radial-angular Morrey spaces
Open Mathematics, 2022 In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
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Forum of Mathematics, Sigma, 2021 We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]
, 2006 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel ...
Guliyev, Vagif, Hasanov, Javanshir
core
Fourth-order Schr\"odinger type operator with singular potentials
, 2016 In this paper we study the biharmonic operator perturbed by an inverse fourth-order potential. In particular, we consider the operator $A=\Delta^2-V=\Delta^2-c|x|^{-4}$ where $c$ is any constant such that ...
Gregorio, Federica, Mildner, Sebastian
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A commutator theorem for fractional integrals in spaces of homogeneous type
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 403-418, 2000., 2000 We give a new proof of a commutator theorem for fractional integrals in spaces of homogeneous type.
Jorge J. Betancor
wiley +1 more source
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
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LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]
, 2005 Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karapetyants, Alexey +2 more
core
, 2012 Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler than the probabilistic arguments used for all previous results in this ...
Hytönen, Tuomas P. +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
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Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent
, 2013 In this paper, some boundedness for commutators of fractional integrals are obtained on Herz-Morrey spaces with variable exponent applying some properties of varible exponent and $\BMO$ function.Comment: In 2013, it is accepted by Kyoto Journal of ...
Wu, Jianglong
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