Keywords: بهترین های ثابت; 26D10; 46E30; Hardy operator; Dual operator; Best constants; Decreasing functions;
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Sharp weighted weak-norm estimates for maximal functions
Keywords: بهترین های ثابت; primary; 42B25; secondary; 60G44; Maximal; Martingale; Bellman function; Best constants;
Keywords: بهترین های ثابت; Hardy inequalities; Best constants; Solid torus;
Keywords: بهترین های ثابت; Bernstein polynomials; Bernstein moments; Best constants;
Keywords: بهترین های ثابت; Homogeneous trace Sobolev inequality; Best constants; Solid torus
Keywords: بهترین های ثابت; 35B45; 35R11; 35K55Fractional Laplacian; Symmetrization; Nonlocal parabolic equations; Comparison theorems; Best constants
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions
Keywords: بهترین های ثابت; Caffarelli-Kohn-Nirenberg inequality; Moser-Onofri inequality; Weighted Trudinger-Moser inequalities; Best constants; Extremal functions; Quasi-conformal transforms;
Sharp logarithmic estimates for positive dyadic shifts
Keywords: بهترین های ثابت; primary; 42B25; secondary; 46E30; 60G42; Dyadic shift; Bellman function; Best constants;
New cubature formulas and Hermite-Hadamard type inequalities using integrals over some hyperplanes in the d-dimensional hyper-rectangle
Keywords: بهترین های ثابت; Cubature; Approximation; Componentwise convexity; Best constants; Error estimates; 65D32; 33C45; 41A44;
Sharp L1(ℓq)L1(ℓq) estimate for a sequence and its predictable projection
Keywords: بهترین های ثابت; primary, 60G42; secondary, 46E30Predictable projection; Best constants
Sharp LpLp-entropy inequalities on manifolds
Keywords: بهترین های ثابت; 35J92; 41A44; 58J05Entropy inequalities; Log-Sobolev type inequalities; Best constants
Sharp L2logL inequalities for the Haar system and martingale transforms
Keywords: بهترین های ثابت; primary; 60G42; secondary; 26D15; Haar system; Martingale; Square function; Best constants;
Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg Equation in one and two space dimensions
Keywords: بهترین های ثابت; Dissipative partial differential equations; Interpolation inequalities; Best constants; Analysis of solutions; Dissipative length scale;
Sobolev and Hardy–Littlewood–Sobolev inequalities
Keywords: بهترین های ثابت; 26D10; 46E35; 35K55Sobolev inequality; Hardy–Littlewood–Sobolev inequality; Onofri's inequality; Duality; Fast diffusion equation; Best constants
Sharp Nash inequalities on the unit sphere: The influence of symmetries
Keywords: بهترین های ثابت; 41A44; 58E40; 58E35Manifolds without boundary; Standard unit sphere; Nash inequalities; Best constants; Extremal functions; Symmetries
On best constants in Hardy inequalities with a remainder term
Keywords: بهترین های ثابت; 35J20; 26D10; 46E35; Hardy inequality; One-dimensional Calculus of Variations; Best constants;
Solution to a conjecture on the norm of the Hardy operator minus the identity
Keywords: بهترین های ثابت; Hardy operator; BpBp weights; Lorentz spaces; Best constants
Sharp Nash inequalities on manifolds with boundary in the presence of symmetries
Keywords: بهترین های ثابت; Manifolds with boundary; Symmetries; Trace Nash inequalities; Best constants
Optimal constants in the Rosenthal inequality for random variables with zero odd moments
Keywords: بهترین های ثابت; Rosenthal inequality; Moment inequalities; Best constants
On the Lp−LqLp−Lq norm of the Hankel transform and related operators
Keywords: بهترین های ثابت; Fourier–Bessel transform; Hankel transform; Convolution operator; Bessel functions; Laguerre polynomials; Best constants
On a class of Rellich inequalities
Keywords: بهترین های ثابت; 35J20; 35P20; 35P99; 26D10; 47A75Rellich inequality; Best constants; Distance function