Results 61 to 70 of about 127 (125)
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
Karasev, Denis +2 more
core
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness [PDF]
, 2020 MSC: 42B15 42B25 42B20 Keywords: Multi-parameter and multi-linear multiplier Coifman-Meyer theorem Hörmander multiplier Minimal smoothness condition Littlewood-Paley's inequality A p weights a b s t r a c t The main purpose of this paper is three ...
Guozhen Lu, Jiao Chen
core
Construction of Frames on the Heisenberg Groups
Analysis and Geometry in Metric Spaces, 2020 In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen +2 more
doaj +1 more source
Sharp smoothing properties of averages over curves
Forum of Mathematics, Pi, 2023 We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $\gamma $ in $\mathbb R^d$ , $d\ge 3$ .
Hyerim Ko, Sanghyuk Lee, Sewook Oh
doaj +1 more source
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
Weighted sharp inequality for vector-valued multilinear integral operator [PDF]
, 2011 In this paper, we prove the sharp inequality for some vector-valued multilinear integral operators. The operators include Littlewood-Paley opera- tors, Marcinkiewicz operators and Bochner-Riesz operator. By using this in- equality, we obtain the weighted
Husna Zayadi
core
Solitons in gauge theories: Existence and dependence on the charge
Advances in Nonlinear Analysis, 2014 In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
doaj +1 more source
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
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
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