Best Constants in Inequalities Involving Analytic and Co-Analytic Projections and Riesz's Theorem in Various Function Spaces
P Melentijević, M Marković - Potential Analysis, 2023 - Springer
Let P+ be the Riesz's projection operator and let P−= I− P+. We consider estimates of the
expression∥(| P+ f| s+| P− f| s) 1 s∥ L p (T) in terms of Lebesgue p-norm of the function f∈ L …
expression∥(| P+ f| s+| P− f| s) 1 s∥ L p (T) in terms of Lebesgue p-norm of the function f∈ L …
[PDF][PDF] ON THE HOLLENBECK-VERBITSKY CONJECTURE AND M. RIESZ THEOREM FOR VARIOUS FUNCTION SPACES
M MARKOVIC, P MELENTIJEVIC - arXiv preprint arXiv …, 2019 - researchgate.net
We consider two-sided estimates of (| P+f| s+| P− f| s) 1 s Lp (T) in terms of Lebesgue p-norm
of the function f∈ Lp (T). For some values of parameters 0< s<∞ and p, our inequalities are …
of the function f∈ Lp (T). For some values of parameters 0< s<∞ and p, our inequalities are …