besov spaces
On characterizations of Bloch spaces and Besov spaces of pluriharmonic mappings
... In this article, we consider the corresponding problems in higher dimensional set- ting. We refer to [–] for the related topics for holomorphic or harmonic functions. See [–] for various characterizations of the ...
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Convergence Rates of Density Estimation in Besov Spaces
... Abstract The optimality of a density estimation on Besov spaces Brs,q R for the L p risk was established by Donoho, Johnstone, Kerkyacharian and Picard “Density estimation by wavelet[r] ...
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An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces
... To the best of our knowledge, however, few results have been obtained on the pressure regularity criterion of the MHD in the largest critical spaces. Motivated by the previous regularity criteria results on the ...
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The boundedness of Fourier transform on the Herz type amalgams and Besov spaces
... Inspired by Theorem B and Theorem C, in this paper, we discuss the boundedness as regards the Fourier transform on the Herz type amalgams and the Besov spaces. In Sec- tion , we give the definition of ...
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Blow up criteria for the 3D Bénard system in Besov spaces
... Here it is worth particularly mentioning some regularity criteria for the fluid dynamic systems. Lin and Du [12] gave some global regularity criteria for 3D incompressible mag- netohydrodynamics (MHD) equations. Mechdene ...
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Interpolatory curl free wavelets on bounded domains and characterization of Besov spaces
... In Section 2, we first give the construction of interpolatory curl-free wavelets and its duals on the cube. The characterization of a class of vector-valued Besov spaces are given in part 3. Finally, we ...
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Analytic Besov spaces and Hardy type inequalities in tube domains over symmetric cones
... analytic Besov spaces in tubes over cones, for which such Hardy inequalities play an important ...a Besov space the range of the Bergman projection acting on L p , and also the dual of A p ...
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Bernstein Jackson type inequalities and Besov spaces associated with unbounded operators
... 6. Giulini, S: Bernstain and Jackson theorems for the Heisenberg group. J. Aust. Math. Soc. 38, 241-254 (1985) 7. Giulini, S: Approximation and Besov spaces on stratified groups. Proc. Am. Math. Soc. 96(4), ...
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A note on rough singular integrals in Triebel Lizorkin spaces and Besov spaces
... Triebel-Lizorkin spaces and Besov spaces is established, provided the kernels satisfy rather weak size conditions both on the unit sphere and in the radial ...
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Relations between anisotropic Besov spaces and multivariate Bernstein Durrmeyer operators
... Correspondence: [email protected] 1 School of Mathematics and Information Engineering, Taizhou University, Taizhou, Zhejiang 317000, China 2 School of Mathematical Sciences, Beijing Norma[r] ...
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On the regularity criterion for the 3D generalized MHD equations in Besov spaces
... and the set S (R ) of temperate distributions is the dual set of S for the usual pairing. When dealing with our problems, we will use some paradifferential calculus [, ]. It is a nice way to define a generalized ...
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Bernstein's theorem on weighted Besov spaces
... A most important result in this area is probably the Herz-Beurling theorem, which characterizes the Fourier transform of a distribution in the homogeneous Besov space B2,q see [11].. The[r] ...
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An application of nonstationary wavelets
... Remark . Some questions are left to be considered. Note that we assume ≤ p ≤ in our Main Theorem. Then a natural question is to study the case for p > . Another one is to discuss whether or not the wavelet ...
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The Best m Term One Sided Approximation of Besov Classes by the Trigonometric Polynomials
... In [1,2], R. A. Devore and V. N. Temlyakov gave the asymptotic estimations of the best m-term approximation and the m-term Greedy approximation in the Besov spaces, respectively. In [3,4], by combining ...
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Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents
... Lebesgue spaces were ...Lebesgue spaces, weak-type spaces, BMO and Sobolev spaces are established in ...in Besov spaces are bounded on products of Lebesgue ...
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Approximation of functions in Besov space by deferred Cesàro mean
... Hölder spaces using different summability ...way. Besov spaces are a much more general tool in describing the smoothness properties of functions and contain a large number of fundamental spaces ...
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Persistence of the incompressible Euler equations in a Besov space B1,1d+1(Rd)
... of Besov spaces has been recently studied, which signifies that it is worthwhile to clarify either the well- posedness or the ill-posedness of the solutions in some particular Besov ...
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Wavelet optimal estimations for a two dimensional continuous discrete density function over \(L^{p}\) risk
... Recently, wavelet methods have made the remarkable achievements in density estima- tion [7, 8, 11, 12, 15] due to their time and frequency localization, multiscale decompo- sition, and fast algorithm in numerical ...
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Boundedness of multidimensional Hausdorff operator on Hardy Morrey and Besov Morrey spaces
... atoms supported on dyadic cubes. These atoms have the same smoothness and cancelation properties as those of the classical Besov spaces []. Thus, in our study, we will invoke the atomic decomposition ...
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The Cauchy problem for the modified Novikov equation
... To the best of our knowledge, the well-posedness and blow-up of the Cauchy problem for (.) and (.) in Besov spaces are open up to now. More precisely, in this paper, mo- tivated by [, ], using ...
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